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Finding the Fourth Proportional to 113.40, 157.41 and 111.78

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Solution

The fourth proportional to 113.40, 157.41 and 111.78 is: 155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 157.41 = 111.78 : x
  2. Step 2: Convert to fraction form
    113.40/157.41 = 111.78/x
  3. Step 3: Cross multiply
    113.40x = 157.41 × 111.78
  4. Step 4: Simplify right side
    113.40x = 17,595.29
  5. Step 5: Solve for x
    x = 17,595.29/113.40
  6. Step 6: Final answer
    x = 155.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.