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Finding the Fourth Proportional to 288, 429.17 and 280.08

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Solution

The fourth proportional to 288, 429.17 and 280.08 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 429.17 = 280.08 : x
  2. Step 2: Convert to fraction form
    288/429.17 = 280.08/x
  3. Step 3: Cross multiply
    288x = 429.17 × 280.08
  4. Step 4: Simplify right side
    288x = 120,201.93
  5. Step 5: Solve for x
    x = 120,201.93/288
  6. Step 6: Final answer
    x = 417.37

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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.