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Finding the Fourth Proportional to 177.08, 265.14 and 137.90

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Solution

The fourth proportional to 177.08, 265.14 and 137.90 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 265.14 = 137.90 : x
  2. Step 2: Convert to fraction form
    177.08/265.14 = 137.90/x
  3. Step 3: Cross multiply
    177.08x = 265.14 × 137.90
  4. Step 4: Simplify right side
    177.08x = 36,562.81
  5. Step 5: Solve for x
    x = 36,562.81/177.08
  6. Step 6: Final answer
    x = 206.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.