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Finding the Fourth Proportional to 559.47, 839.25 and 148.60

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Solution

The fourth proportional to 559.47, 839.25 and 148.60 is: 222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.47 : 839.25 = 148.60 : x
  2. Step 2: Convert to fraction form
    559.47/839.25 = 148.60/x
  3. Step 3: Cross multiply
    559.47x = 839.25 × 148.60
  4. Step 4: Simplify right side
    559.47x = 124,712.55
  5. Step 5: Solve for x
    x = 124,712.55/559.47
  6. Step 6: Final answer
    x = 222.91

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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.