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Finding the Fourth Proportional to 165.94, 229.42 and 124.70

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Solution

The fourth proportional to 165.94, 229.42 and 124.70 is: 172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 229.42 = 124.70 : x
  2. Step 2: Convert to fraction form
    165.94/229.42 = 124.70/x
  3. Step 3: Cross multiply
    165.94x = 229.42 × 124.70
  4. Step 4: Simplify right side
    165.94x = 28,608.67
  5. Step 5: Solve for x
    x = 28,608.67/165.94
  6. Step 6: Final answer
    x = 172.40

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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.