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Finding the Fourth Proportional to 160.74, 240.06 and 124.26

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Solution

The fourth proportional to 160.74, 240.06 and 124.26 is: 185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.74 : 240.06 = 124.26 : x
  2. Step 2: Convert to fraction form
    160.74/240.06 = 124.26/x
  3. Step 3: Cross multiply
    160.74x = 240.06 × 124.26
  4. Step 4: Simplify right side
    160.74x = 29,829.86
  5. Step 5: Solve for x
    x = 29,829.86/160.74
  6. Step 6: Final answer
    x = 185.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.