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Finding the Fourth Proportional to 462.16, 637.88 and 315.14

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Solution

The fourth proportional to 462.16, 637.88 and 315.14 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 637.88 = 315.14 : x
  2. Step 2: Convert to fraction form
    462.16/637.88 = 315.14/x
  3. Step 3: Cross multiply
    462.16x = 637.88 × 315.14
  4. Step 4: Simplify right side
    462.16x = 201,019.93
  5. Step 5: Solve for x
    x = 201,019.93/462.16
  6. Step 6: Final answer
    x = 434.96

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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.