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Finding the Fourth Proportional to 177.02, 265.31 and 85.56

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Solution

The fourth proportional to 177.02, 265.31 and 85.56 is: 128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 265.31 = 85.56 : x
  2. Step 2: Convert to fraction form
    177.02/265.31 = 85.56/x
  3. Step 3: Cross multiply
    177.02x = 265.31 × 85.56
  4. Step 4: Simplify right side
    177.02x = 22,699.92
  5. Step 5: Solve for x
    x = 22,699.92/177.02
  6. Step 6: Final answer
    x = 128.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.