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Finding the Fourth Proportional to 288.61, 430.92 and 285.84

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Solution

The fourth proportional to 288.61, 430.92 and 285.84 is: 426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.61 : 430.92 = 285.84 : x
  2. Step 2: Convert to fraction form
    288.61/430.92 = 285.84/x
  3. Step 3: Cross multiply
    288.61x = 430.92 × 285.84
  4. Step 4: Simplify right side
    288.61x = 123,174.17
  5. Step 5: Solve for x
    x = 123,174.17/288.61
  6. Step 6: Final answer
    x = 426.79

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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.