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Finding the Fourth Proportional to 177.58, 244.31 and 156.48

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Solution

The fourth proportional to 177.58, 244.31 and 156.48 is: 215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.58 : 244.31 = 156.48 : x
  2. Step 2: Convert to fraction form
    177.58/244.31 = 156.48/x
  3. Step 3: Cross multiply
    177.58x = 244.31 × 156.48
  4. Step 4: Simplify right side
    177.58x = 38,229.02
  5. Step 5: Solve for x
    x = 38,229.02/177.58
  6. Step 6: Final answer
    x = 215.28

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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.