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Finding the Fourth Proportional to 174.55, 260.65 and 151.78

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Solution

The fourth proportional to 174.55, 260.65 and 151.78 is: 226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.55 : 260.65 = 151.78 : x
  2. Step 2: Convert to fraction form
    174.55/260.65 = 151.78/x
  3. Step 3: Cross multiply
    174.55x = 260.65 × 151.78
  4. Step 4: Simplify right side
    174.55x = 39,561.46
  5. Step 5: Solve for x
    x = 39,561.46/174.55
  6. Step 6: Final answer
    x = 226.65

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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.