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Finding the Fourth Proportional to 177.06, 265.54 and 55.29

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Solution

The fourth proportional to 177.06, 265.54 and 55.29 is: 82.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.06 : 265.54 = 55.29 : x
  2. Step 2: Convert to fraction form
    177.06/265.54 = 55.29/x
  3. Step 3: Cross multiply
    177.06x = 265.54 × 55.29
  4. Step 4: Simplify right side
    177.06x = 14,681.71
  5. Step 5: Solve for x
    x = 14,681.71/177.06
  6. Step 6: Final answer
    x = 82.92

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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.