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Finding the Fourth Proportional to 560.45, 840.68 and 149.61

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Solution

The fourth proportional to 560.45, 840.68 and 149.61 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.45 : 840.68 = 149.61 : x
  2. Step 2: Convert to fraction form
    560.45/840.68 = 149.61/x
  3. Step 3: Cross multiply
    560.45x = 840.68 × 149.61
  4. Step 4: Simplify right side
    560.45x = 125,773.39
  5. Step 5: Solve for x
    x = 125,773.39/560.45
  6. Step 6: Final answer
    x = 224.42

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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.