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Finding the Fourth Proportional to 463.27, 694.66 and 257.53

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Solution

The fourth proportional to 463.27, 694.66 and 257.53 is: 386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.27 : 694.66 = 257.53 : x
  2. Step 2: Convert to fraction form
    463.27/694.66 = 257.53/x
  3. Step 3: Cross multiply
    463.27x = 694.66 × 257.53
  4. Step 4: Simplify right side
    463.27x = 178,895.79
  5. Step 5: Solve for x
    x = 178,895.79/463.27
  6. Step 6: Final answer
    x = 386.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.