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Finding the Fourth Proportional to 318.14, 476.68 and 306.14

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Solution

The fourth proportional to 318.14, 476.68 and 306.14 is: 458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.14 : 476.68 = 306.14 : x
  2. Step 2: Convert to fraction form
    318.14/476.68 = 306.14/x
  3. Step 3: Cross multiply
    318.14x = 476.68 × 306.14
  4. Step 4: Simplify right side
    318.14x = 145,928.72
  5. Step 5: Solve for x
    x = 145,928.72/318.14
  6. Step 6: Final answer
    x = 458.70

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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.