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Finding the Fourth Proportional to 362.16, 542.76 and 315.69

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Solution

The fourth proportional to 362.16, 542.76 and 315.69 is: 473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 542.76 = 315.69 : x
  2. Step 2: Convert to fraction form
    362.16/542.76 = 315.69/x
  3. Step 3: Cross multiply
    362.16x = 542.76 × 315.69
  4. Step 4: Simplify right side
    362.16x = 171,343.90
  5. Step 5: Solve for x
    x = 171,343.90/362.16
  6. Step 6: Final answer
    x = 473.12

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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.