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Finding the Fourth Proportional to 177.23, 243.95 and 153.77

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Solution

The fourth proportional to 177.23, 243.95 and 153.77 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.23 : 243.95 = 153.77 : x
  2. Step 2: Convert to fraction form
    177.23/243.95 = 153.77/x
  3. Step 3: Cross multiply
    177.23x = 243.95 × 153.77
  4. Step 4: Simplify right side
    177.23x = 37,510.20
  5. Step 5: Solve for x
    x = 37,510.20/177.23
  6. Step 6: Final answer
    x = 211.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.