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Finding the Fourth Proportional to 152.10, 209.52 and 113.22

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Solution

The fourth proportional to 152.10, 209.52 and 113.22 is: 155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 209.52 = 113.22 : x
  2. Step 2: Convert to fraction form
    152.10/209.52 = 113.22/x
  3. Step 3: Cross multiply
    152.10x = 209.52 × 113.22
  4. Step 4: Simplify right side
    152.10x = 23,721.85
  5. Step 5: Solve for x
    x = 23,721.85/152.10
  6. Step 6: Final answer
    x = 155.96

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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.