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Finding the Fourth Proportional to 287.20, 430.33 and 178.76

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Solution

The fourth proportional to 287.20, 430.33 and 178.76 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.20 : 430.33 = 178.76 : x
  2. Step 2: Convert to fraction form
    287.20/430.33 = 178.76/x
  3. Step 3: Cross multiply
    287.20x = 430.33 × 178.76
  4. Step 4: Simplify right side
    287.20x = 76,925.79
  5. Step 5: Solve for x
    x = 76,925.79/287.20
  6. Step 6: Final answer
    x = 267.85

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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.