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Finding the Fourth Proportional to 29.35, 43.70 and 28.42

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Solution

The fourth proportional to 29.35, 43.70 and 28.42 is: 42.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.35 : 43.70 = 28.42 : x
  2. Step 2: Convert to fraction form
    29.35/43.70 = 28.42/x
  3. Step 3: Cross multiply
    29.35x = 43.70 × 28.42
  4. Step 4: Simplify right side
    29.35x = 1,241.95
  5. Step 5: Solve for x
    x = 1,241.95/29.35
  6. Step 6: Final answer
    x = 42.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.