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Finding the Fourth Proportional to 177.78, 265.20 and 156.06

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Solution

The fourth proportional to 177.78, 265.20 and 156.06 is: 232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 265.20 = 156.06 : x
  2. Step 2: Convert to fraction form
    177.78/265.20 = 156.06/x
  3. Step 3: Cross multiply
    177.78x = 265.20 × 156.06
  4. Step 4: Simplify right side
    177.78x = 41,387.11
  5. Step 5: Solve for x
    x = 41,387.11/177.78
  6. Step 6: Final answer
    x = 232.80

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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.