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Finding the Fourth Proportional to 177.32, 243.96 and 152.66

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Solution

The fourth proportional to 177.32, 243.96 and 152.66 is: 210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 243.96 = 152.66 : x
  2. Step 2: Convert to fraction form
    177.32/243.96 = 152.66/x
  3. Step 3: Cross multiply
    177.32x = 243.96 × 152.66
  4. Step 4: Simplify right side
    177.32x = 37,242.93
  5. Step 5: Solve for x
    x = 37,242.93/177.32
  6. Step 6: Final answer
    x = 210.03

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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.