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Finding the Fourth Proportional to 310.59, 462.56 and 306.94

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Solution

The fourth proportional to 310.59, 462.56 and 306.94 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.59 : 462.56 = 306.94 : x
  2. Step 2: Convert to fraction form
    310.59/462.56 = 306.94/x
  3. Step 3: Cross multiply
    310.59x = 462.56 × 306.94
  4. Step 4: Simplify right side
    310.59x = 141,978.17
  5. Step 5: Solve for x
    x = 141,978.17/310.59
  6. Step 6: Final answer
    x = 457.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.