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Finding the Fourth Proportional to 113.40, 156.36 and 82.42

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Solution

The fourth proportional to 113.40, 156.36 and 82.42 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 156.36 = 82.42 : x
  2. Step 2: Convert to fraction form
    113.40/156.36 = 82.42/x
  3. Step 3: Cross multiply
    113.40x = 156.36 × 82.42
  4. Step 4: Simplify right side
    113.40x = 12,887.11
  5. Step 5: Solve for x
    x = 12,887.11/113.40
  6. Step 6: Final answer
    x = 113.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.