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Finding the Fourth Proportional to 177.57, 245.06 and 103.91

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Solution

The fourth proportional to 177.57, 245.06 and 103.91 is: 143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 245.06 = 103.91 : x
  2. Step 2: Convert to fraction form
    177.57/245.06 = 103.91/x
  3. Step 3: Cross multiply
    177.57x = 245.06 × 103.91
  4. Step 4: Simplify right side
    177.57x = 25,464.18
  5. Step 5: Solve for x
    x = 25,464.18/177.57
  6. Step 6: Final answer
    x = 143.40

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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.