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Finding the Fourth Proportional to 407.28, 610.80 and 118.56

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Solution

The fourth proportional to 407.28, 610.80 and 118.56 is: 177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.28 : 610.80 = 118.56 : x
  2. Step 2: Convert to fraction form
    407.28/610.80 = 118.56/x
  3. Step 3: Cross multiply
    407.28x = 610.80 × 118.56
  4. Step 4: Simplify right side
    407.28x = 72,416.45
  5. Step 5: Solve for x
    x = 72,416.45/407.28
  6. Step 6: Final answer
    x = 177.81

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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.