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Finding the Fourth Proportional to 560.23, 840.25 and 149.39

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Solution

The fourth proportional to 560.23, 840.25 and 149.39 is: 224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.23 : 840.25 = 149.39 : x
  2. Step 2: Convert to fraction form
    560.23/840.25 = 149.39/x
  3. Step 3: Cross multiply
    560.23x = 840.25 × 149.39
  4. Step 4: Simplify right side
    560.23x = 125,524.95
  5. Step 5: Solve for x
    x = 125,524.95/560.23
  6. Step 6: Final answer
    x = 224.06

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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.