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Finding the Fourth Proportional to 287.03, 430.08 and 132.87

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Solution

The fourth proportional to 287.03, 430.08 and 132.87 is: 199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.03 : 430.08 = 132.87 : x
  2. Step 2: Convert to fraction form
    287.03/430.08 = 132.87/x
  3. Step 3: Cross multiply
    287.03x = 430.08 × 132.87
  4. Step 4: Simplify right side
    287.03x = 57,144.73
  5. Step 5: Solve for x
    x = 57,144.73/287.03
  6. Step 6: Final answer
    x = 199.09

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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.