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Finding the Fourth Proportional to 174.40, 260.12 and 147.15

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Solution

The fourth proportional to 174.40, 260.12 and 147.15 is: 219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 260.12 = 147.15 : x
  2. Step 2: Convert to fraction form
    174.40/260.12 = 147.15/x
  3. Step 3: Cross multiply
    174.40x = 260.12 × 147.15
  4. Step 4: Simplify right side
    174.40x = 38,277.45
  5. Step 5: Solve for x
    x = 38,277.45/174.40
  6. Step 6: Final answer
    x = 219.49

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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.