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Finding the Fourth Proportional to 318.47, 474.53 and 306.72

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Solution

The fourth proportional to 318.47, 474.53 and 306.72 is: 457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 474.53 = 306.72 : x
  2. Step 2: Convert to fraction form
    318.47/474.53 = 306.72/x
  3. Step 3: Cross multiply
    318.47x = 474.53 × 306.72
  4. Step 4: Simplify right side
    318.47x = 145,546.31
  5. Step 5: Solve for x
    x = 145,546.31/318.47
  6. Step 6: Final answer
    x = 457.02

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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.