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Finding the Fourth Proportional to 366.53, 547.14 and 315.50

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Solution

The fourth proportional to 366.53, 547.14 and 315.50 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.53 : 547.14 = 315.50 : x
  2. Step 2: Convert to fraction form
    366.53/547.14 = 315.50/x
  3. Step 3: Cross multiply
    366.53x = 547.14 × 315.50
  4. Step 4: Simplify right side
    366.53x = 172,624.04
  5. Step 5: Solve for x
    x = 172,624.04/366.53
  6. Step 6: Final answer
    x = 470.97

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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.