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Finding the Fourth Proportional to 177.93, 265.66 and 158.42

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Solution

The fourth proportional to 177.93, 265.66 and 158.42 is: 236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.93 : 265.66 = 158.42 : x
  2. Step 2: Convert to fraction form
    177.93/265.66 = 158.42/x
  3. Step 3: Cross multiply
    177.93x = 265.66 × 158.42
  4. Step 4: Simplify right side
    177.93x = 42,086.13
  5. Step 5: Solve for x
    x = 42,086.13/177.93
  6. Step 6: Final answer
    x = 236.53

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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.