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Finding the Fourth Proportional to 177.42, 243.14 and 160.14

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Solution

The fourth proportional to 177.42, 243.14 and 160.14 is: 219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.42 : 243.14 = 160.14 : x
  2. Step 2: Convert to fraction form
    177.42/243.14 = 160.14/x
  3. Step 3: Cross multiply
    177.42x = 243.14 × 160.14
  4. Step 4: Simplify right side
    177.42x = 38,935.64
  5. Step 5: Solve for x
    x = 38,935.64/177.42
  6. Step 6: Final answer
    x = 219.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.