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Finding the Fourth Proportional to 494.54, 741.78 and 147.90

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Solution

The fourth proportional to 494.54, 741.78 and 147.90 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.54 : 741.78 = 147.90 : x
  2. Step 2: Convert to fraction form
    494.54/741.78 = 147.90/x
  3. Step 3: Cross multiply
    494.54x = 741.78 × 147.90
  4. Step 4: Simplify right side
    494.54x = 109,709.26
  5. Step 5: Solve for x
    x = 109,709.26/494.54
  6. Step 6: Final answer
    x = 221.84

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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.