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Finding the Fourth Proportional to 29, 39.98 and 26.10

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Solution

The fourth proportional to 29, 39.98 and 26.10 is: 35.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29 : 39.98 = 26.10 : x
  2. Step 2: Convert to fraction form
    29/39.98 = 26.10/x
  3. Step 3: Cross multiply
    29x = 39.98 × 26.10
  4. Step 4: Simplify right side
    29x = 1,043.48
  5. Step 5: Solve for x
    x = 1,043.48/29
  6. Step 6: Final answer
    x = 35.98

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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.