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Finding the Fourth Proportional to 177.98, 245.63 and 99.30

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Solution

The fourth proportional to 177.98, 245.63 and 99.30 is: 137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.98 : 245.63 = 99.30 : x
  2. Step 2: Convert to fraction form
    177.98/245.63 = 99.30/x
  3. Step 3: Cross multiply
    177.98x = 245.63 × 99.30
  4. Step 4: Simplify right side
    177.98x = 24,390.56
  5. Step 5: Solve for x
    x = 24,390.56/177.98
  6. Step 6: Final answer
    x = 137.04

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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.