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Finding the Fourth Proportional to 177.96, 245.57 and 99.28

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Solution

The fourth proportional to 177.96, 245.57 and 99.28 is: 137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.96 : 245.57 = 99.28 : x
  2. Step 2: Convert to fraction form
    177.96/245.57 = 99.28/x
  3. Step 3: Cross multiply
    177.96x = 245.57 × 99.28
  4. Step 4: Simplify right side
    177.96x = 24,380.19
  5. Step 5: Solve for x
    x = 24,380.19/177.96
  6. Step 6: Final answer
    x = 137.00

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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.