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Finding the Fourth Proportional to 152.26, 209.85 and 124.45

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Solution

The fourth proportional to 152.26, 209.85 and 124.45 is: 171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.26 : 209.85 = 124.45 : x
  2. Step 2: Convert to fraction form
    152.26/209.85 = 124.45/x
  3. Step 3: Cross multiply
    152.26x = 209.85 × 124.45
  4. Step 4: Simplify right side
    152.26x = 26,115.83
  5. Step 5: Solve for x
    x = 26,115.83/152.26
  6. Step 6: Final answer
    x = 171.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.