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Finding the Fourth Proportional to 362.32, 542.74 and 215.72

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Solution

The fourth proportional to 362.32, 542.74 and 215.72 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 542.74 = 215.72 : x
  2. Step 2: Convert to fraction form
    362.32/542.74 = 215.72/x
  3. Step 3: Cross multiply
    362.32x = 542.74 × 215.72
  4. Step 4: Simplify right side
    362.32x = 117,079.87
  5. Step 5: Solve for x
    x = 117,079.87/362.32
  6. Step 6: Final answer
    x = 323.14

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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.