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Finding the Fourth Proportional to 174.30, 259.93 and 148.78

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Solution

The fourth proportional to 174.30, 259.93 and 148.78 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.30 : 259.93 = 148.78 : x
  2. Step 2: Convert to fraction form
    174.30/259.93 = 148.78/x
  3. Step 3: Cross multiply
    174.30x = 259.93 × 148.78
  4. Step 4: Simplify right side
    174.30x = 38,672.90
  5. Step 5: Solve for x
    x = 38,672.90/174.30
  6. Step 6: Final answer
    x = 221.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.