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Finding the Fourth Proportional to 113.23, 155.17 and 113.05

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Solution

The fourth proportional to 113.23, 155.17 and 113.05 is: 154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.23 : 155.17 = 113.05 : x
  2. Step 2: Convert to fraction form
    113.23/155.17 = 113.05/x
  3. Step 3: Cross multiply
    113.23x = 155.17 × 113.05
  4. Step 4: Simplify right side
    113.23x = 17,541.19
  5. Step 5: Solve for x
    x = 17,541.19/113.23
  6. Step 6: Final answer
    x = 154.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.