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Finding the Fourth Proportional to 494.55, 741.93 and 147.90

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Solution

The fourth proportional to 494.55, 741.93 and 147.90 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.55 : 741.93 = 147.90 : x
  2. Step 2: Convert to fraction form
    494.55/741.93 = 147.90/x
  3. Step 3: Cross multiply
    494.55x = 741.93 × 147.90
  4. Step 4: Simplify right side
    494.55x = 109,731.45
  5. Step 5: Solve for x
    x = 109,731.45/494.55
  6. Step 6: Final answer
    x = 221.88

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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.