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Finding the Fourth Proportional to 494.80, 742.02 and 148.06

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Solution

The fourth proportional to 494.80, 742.02 and 148.06 is: 222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.80 : 742.02 = 148.06 : x
  2. Step 2: Convert to fraction form
    494.80/742.02 = 148.06/x
  3. Step 3: Cross multiply
    494.80x = 742.02 × 148.06
  4. Step 4: Simplify right side
    494.80x = 109,863.48
  5. Step 5: Solve for x
    x = 109,863.48/494.80
  6. Step 6: Final answer
    x = 222.04

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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.