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Finding the Fourth Proportional to 270.22, 402.95 and 237.88

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Solution

The fourth proportional to 270.22, 402.95 and 237.88 is: 354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.22 : 402.95 = 237.88 : x
  2. Step 2: Convert to fraction form
    270.22/402.95 = 237.88/x
  3. Step 3: Cross multiply
    270.22x = 402.95 × 237.88
  4. Step 4: Simplify right side
    270.22x = 95,853.75
  5. Step 5: Solve for x
    x = 95,853.75/270.22
  6. Step 6: Final answer
    x = 354.72

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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.