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Finding the Fourth Proportional to 29.03, 39.98 and 22.55

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Solution

The fourth proportional to 29.03, 39.98 and 22.55 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.03 : 39.98 = 22.55 : x
  2. Step 2: Convert to fraction form
    29.03/39.98 = 22.55/x
  3. Step 3: Cross multiply
    29.03x = 39.98 × 22.55
  4. Step 4: Simplify right side
    29.03x = 901.41
  5. Step 5: Solve for x
    x = 901.41/29.03
  6. Step 6: Final answer
    x = 31.06

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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.