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Finding the Fourth Proportional to 462.10, 693.66 and 257.17

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Solution

The fourth proportional to 462.10, 693.66 and 257.17 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.10 : 693.66 = 257.17 : x
  2. Step 2: Convert to fraction form
    462.10/693.66 = 257.17/x
  3. Step 3: Cross multiply
    462.10x = 693.66 × 257.17
  4. Step 4: Simplify right side
    462.10x = 178,388.54
  5. Step 5: Solve for x
    x = 178,388.54/462.10
  6. Step 6: Final answer
    x = 386.04

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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.