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Finding the Fourth Proportional to 269.60, 372 and 159.02

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Solution

The fourth proportional to 269.60, 372 and 159.02 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.60 : 372 = 159.02 : x
  2. Step 2: Convert to fraction form
    269.60/372 = 159.02/x
  3. Step 3: Cross multiply
    269.60x = 372 × 159.02
  4. Step 4: Simplify right side
    269.60x = 59,155.44
  5. Step 5: Solve for x
    x = 59,155.44/269.60
  6. Step 6: Final answer
    x = 219.42

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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.