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Finding the Fourth Proportional to 559.90, 839.78 and 149.06

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Solution

The fourth proportional to 559.90, 839.78 and 149.06 is: 223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.90 : 839.78 = 149.06 : x
  2. Step 2: Convert to fraction form
    559.90/839.78 = 149.06/x
  3. Step 3: Cross multiply
    559.90x = 839.78 × 149.06
  4. Step 4: Simplify right side
    559.90x = 125,177.61
  5. Step 5: Solve for x
    x = 125,177.61/559.90
  6. Step 6: Final answer
    x = 223.57

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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.