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Finding the Fourth Proportional to 113.48, 155.47 and 109.16

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Solution

The fourth proportional to 113.48, 155.47 and 109.16 is: 149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.48 : 155.47 = 109.16 : x
  2. Step 2: Convert to fraction form
    113.48/155.47 = 109.16/x
  3. Step 3: Cross multiply
    113.48x = 155.47 × 109.16
  4. Step 4: Simplify right side
    113.48x = 16,971.11
  5. Step 5: Solve for x
    x = 16,971.11/113.48
  6. Step 6: Final answer
    x = 149.55

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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.