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Finding the Fourth Proportional to 124.96, 188.44 and 118.24

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Solution

The fourth proportional to 124.96, 188.44 and 118.24 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.96 : 188.44 = 118.24 : x
  2. Step 2: Convert to fraction form
    124.96/188.44 = 118.24/x
  3. Step 3: Cross multiply
    124.96x = 188.44 × 118.24
  4. Step 4: Simplify right side
    124.96x = 22,281.15
  5. Step 5: Solve for x
    x = 22,281.15/124.96
  6. Step 6: Final answer
    x = 178.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.