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Finding the Fourth Proportional to 560.38, 840.62 and 235.84

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Solution

The fourth proportional to 560.38, 840.62 and 235.84 is: 353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.38 : 840.62 = 235.84 : x
  2. Step 2: Convert to fraction form
    560.38/840.62 = 235.84/x
  3. Step 3: Cross multiply
    560.38x = 840.62 × 235.84
  4. Step 4: Simplify right side
    560.38x = 198,251.82
  5. Step 5: Solve for x
    x = 198,251.82/560.38
  6. Step 6: Final answer
    x = 353.78

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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.