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Finding the Fourth Proportional to 29.70, 40.44 and 29.52

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Solution

The fourth proportional to 29.70, 40.44 and 29.52 is: 40.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.70 : 40.44 = 29.52 : x
  2. Step 2: Convert to fraction form
    29.70/40.44 = 29.52/x
  3. Step 3: Cross multiply
    29.70x = 40.44 × 29.52
  4. Step 4: Simplify right side
    29.70x = 1,193.79
  5. Step 5: Solve for x
    x = 1,193.79/29.70
  6. Step 6: Final answer
    x = 40.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.