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Finding the Fourth Proportional to 113.09, 155.97 and 88.47

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Solution

The fourth proportional to 113.09, 155.97 and 88.47 is: 122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.09 : 155.97 = 88.47 : x
  2. Step 2: Convert to fraction form
    113.09/155.97 = 88.47/x
  3. Step 3: Cross multiply
    113.09x = 155.97 × 88.47
  4. Step 4: Simplify right side
    113.09x = 13,798.67
  5. Step 5: Solve for x
    x = 13,798.67/113.09
  6. Step 6: Final answer
    x = 122.02

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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.