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Finding the Fourth Proportional to 287.30, 430.11 and 178.76

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Solution

The fourth proportional to 287.30, 430.11 and 178.76 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 430.11 = 178.76 : x
  2. Step 2: Convert to fraction form
    287.30/430.11 = 178.76/x
  3. Step 3: Cross multiply
    287.30x = 430.11 × 178.76
  4. Step 4: Simplify right side
    287.30x = 76,886.46
  5. Step 5: Solve for x
    x = 76,886.46/287.30
  6. Step 6: Final answer
    x = 267.62

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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.