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Finding the Fourth Proportional to 560.01, 840.10 and 149.18

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Solution

The fourth proportional to 560.01, 840.10 and 149.18 is: 223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.01 : 840.10 = 149.18 : x
  2. Step 2: Convert to fraction form
    560.01/840.10 = 149.18/x
  3. Step 3: Cross multiply
    560.01x = 840.10 × 149.18
  4. Step 4: Simplify right side
    560.01x = 125,321.40
  5. Step 5: Solve for x
    x = 125,321.40/560.01
  6. Step 6: Final answer
    x = 223.79

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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.