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Finding the Fourth Proportional to 177.78, 265.11 and 156.24

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Solution

The fourth proportional to 177.78, 265.11 and 156.24 is: 232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 265.11 = 156.24 : x
  2. Step 2: Convert to fraction form
    177.78/265.11 = 156.24/x
  3. Step 3: Cross multiply
    177.78x = 265.11 × 156.24
  4. Step 4: Simplify right side
    177.78x = 41,420.79
  5. Step 5: Solve for x
    x = 41,420.79/177.78
  6. Step 6: Final answer
    x = 232.99

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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.