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Finding the Fourth Proportional to 494.68, 741.86 and 147.94

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Solution

The fourth proportional to 494.68, 741.86 and 147.94 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.68 : 741.86 = 147.94 : x
  2. Step 2: Convert to fraction form
    494.68/741.86 = 147.94/x
  3. Step 3: Cross multiply
    494.68x = 741.86 × 147.94
  4. Step 4: Simplify right side
    494.68x = 109,750.77
  5. Step 5: Solve for x
    x = 109,750.77/494.68
  6. Step 6: Final answer
    x = 221.86

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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.