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Finding the Fourth Proportional to 113.30, 167.78 and 113.30

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Solution

The fourth proportional to 113.30, 167.78 and 113.30 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.30 : 167.78 = 113.30 : x
  2. Step 2: Convert to fraction form
    113.30/167.78 = 113.30/x
  3. Step 3: Cross multiply
    113.30x = 167.78 × 113.30
  4. Step 4: Simplify right side
    113.30x = 19,009.47
  5. Step 5: Solve for x
    x = 19,009.47/113.30
  6. Step 6: Final answer
    x = 167.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.