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Finding the Fourth Proportional to 177.90, 265.28 and 151.77

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Solution

The fourth proportional to 177.90, 265.28 and 151.77 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.90 : 265.28 = 151.77 : x
  2. Step 2: Convert to fraction form
    177.90/265.28 = 151.77/x
  3. Step 3: Cross multiply
    177.90x = 265.28 × 151.77
  4. Step 4: Simplify right side
    177.90x = 40,261.78
  5. Step 5: Solve for x
    x = 40,261.78/177.90
  6. Step 6: Final answer
    x = 226.32

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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.