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Finding the Fourth Proportional to 307.32, 463.65 and 298.68

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Solution

The fourth proportional to 307.32, 463.65 and 298.68 is: 450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.32 : 463.65 = 298.68 : x
  2. Step 2: Convert to fraction form
    307.32/463.65 = 298.68/x
  3. Step 3: Cross multiply
    307.32x = 463.65 × 298.68
  4. Step 4: Simplify right side
    307.32x = 138,482.98
  5. Step 5: Solve for x
    x = 138,482.98/307.32
  6. Step 6: Final answer
    x = 450.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.