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Finding the Fourth Proportional to 177.46, 245.03 and 115.33

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Solution

The fourth proportional to 177.46, 245.03 and 115.33 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.46 : 245.03 = 115.33 : x
  2. Step 2: Convert to fraction form
    177.46/245.03 = 115.33/x
  3. Step 3: Cross multiply
    177.46x = 245.03 × 115.33
  4. Step 4: Simplify right side
    177.46x = 28,259.31
  5. Step 5: Solve for x
    x = 28,259.31/177.46
  6. Step 6: Final answer
    x = 159.24

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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.