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Finding the Fourth Proportional to 464.76, 641.14 and 340.15

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Solution

The fourth proportional to 464.76, 641.14 and 340.15 is: 469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 641.14 = 340.15 : x
  2. Step 2: Convert to fraction form
    464.76/641.14 = 340.15/x
  3. Step 3: Cross multiply
    464.76x = 641.14 × 340.15
  4. Step 4: Simplify right side
    464.76x = 218,083.48
  5. Step 5: Solve for x
    x = 218,083.48/464.76
  6. Step 6: Final answer
    x = 469.24

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Find fourth proportional to 232.38, 320.57 and 170.07
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Double scale
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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.