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Finding the Fourth Proportional to 178.14, 265.17 and 175.55

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Solution

The fourth proportional to 178.14, 265.17 and 175.55 is: 261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 265.17 = 175.55 : x
  2. Step 2: Convert to fraction form
    178.14/265.17 = 175.55/x
  3. Step 3: Cross multiply
    178.14x = 265.17 × 175.55
  4. Step 4: Simplify right side
    178.14x = 46,549.27
  5. Step 5: Solve for x
    x = 46,549.27/178.14
  6. Step 6: Final answer
    x = 261.31

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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.