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Finding the Fourth Proportional to 22.58, 31.19 and 15.70

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Solution

The fourth proportional to 22.58, 31.19 and 15.70 is: 21.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.58 : 31.19 = 15.70 : x
  2. Step 2: Convert to fraction form
    22.58/31.19 = 15.70/x
  3. Step 3: Cross multiply
    22.58x = 31.19 × 15.70
  4. Step 4: Simplify right side
    22.58x = 489.68
  5. Step 5: Solve for x
    x = 489.68/22.58
  6. Step 6: Final answer
    x = 21.69

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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.