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Finding the Fourth Proportional to 174.77, 260.68 and 147.53

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Solution

The fourth proportional to 174.77, 260.68 and 147.53 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.77 : 260.68 = 147.53 : x
  2. Step 2: Convert to fraction form
    174.77/260.68 = 147.53/x
  3. Step 3: Cross multiply
    174.77x = 260.68 × 147.53
  4. Step 4: Simplify right side
    174.77x = 38,458.12
  5. Step 5: Solve for x
    x = 38,458.12/174.77
  6. Step 6: Final answer
    x = 220.05

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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.