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Finding the Fourth Proportional to 177.11, 265.25 and 85.51

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Solution

The fourth proportional to 177.11, 265.25 and 85.51 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.11 : 265.25 = 85.51 : x
  2. Step 2: Convert to fraction form
    177.11/265.25 = 85.51/x
  3. Step 3: Cross multiply
    177.11x = 265.25 × 85.51
  4. Step 4: Simplify right side
    177.11x = 22,681.53
  5. Step 5: Solve for x
    x = 22,681.53/177.11
  6. Step 6: Final answer
    x = 128.06

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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.