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Finding the Fourth Proportional to 177.34, 244.20 and 148.18

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Solution

The fourth proportional to 177.34, 244.20 and 148.18 is: 204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 244.20 = 148.18 : x
  2. Step 2: Convert to fraction form
    177.34/244.20 = 148.18/x
  3. Step 3: Cross multiply
    177.34x = 244.20 × 148.18
  4. Step 4: Simplify right side
    177.34x = 36,185.56
  5. Step 5: Solve for x
    x = 36,185.56/177.34
  6. Step 6: Final answer
    x = 204.05

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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.