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Finding the Fourth Proportional to 464.77, 641.44 and 298.92

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Solution

The fourth proportional to 464.77, 641.44 and 298.92 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.77 : 641.44 = 298.92 : x
  2. Step 2: Convert to fraction form
    464.77/641.44 = 298.92/x
  3. Step 3: Cross multiply
    464.77x = 641.44 × 298.92
  4. Step 4: Simplify right side
    464.77x = 191,738.50
  5. Step 5: Solve for x
    x = 191,738.50/464.77
  6. Step 6: Final answer
    x = 412.55

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Find fourth proportional to 232.38, 320.72 and 149.46
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.