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Finding the Fourth Proportional to 113.84, 156.16 and 111.44

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Solution

The fourth proportional to 113.84, 156.16 and 111.44 is: 152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 156.16 = 111.44 : x
  2. Step 2: Convert to fraction form
    113.84/156.16 = 111.44/x
  3. Step 3: Cross multiply
    113.84x = 156.16 × 111.44
  4. Step 4: Simplify right side
    113.84x = 17,402.47
  5. Step 5: Solve for x
    x = 17,402.47/113.84
  6. Step 6: Final answer
    x = 152.87

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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.