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Finding the Fourth Proportional to 462.10, 637.18 and 314.82

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Solution

The fourth proportional to 462.10, 637.18 and 314.82 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.10 : 637.18 = 314.82 : x
  2. Step 2: Convert to fraction form
    462.10/637.18 = 314.82/x
  3. Step 3: Cross multiply
    462.10x = 637.18 × 314.82
  4. Step 4: Simplify right side
    462.10x = 200,597.01
  5. Step 5: Solve for x
    x = 200,597.01/462.10
  6. Step 6: Final answer
    x = 434.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.