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Finding the Fourth Proportional to 287.10, 430.24 and 132.97

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Solution

The fourth proportional to 287.10, 430.24 and 132.97 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.10 : 430.24 = 132.97 : x
  2. Step 2: Convert to fraction form
    287.10/430.24 = 132.97/x
  3. Step 3: Cross multiply
    287.10x = 430.24 × 132.97
  4. Step 4: Simplify right side
    287.10x = 57,209.01
  5. Step 5: Solve for x
    x = 57,209.01/287.10
  6. Step 6: Final answer
    x = 199.27

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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.