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Finding the Fourth Proportional to 43.70, 60.15 and 30.74

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Solution

The fourth proportional to 43.70, 60.15 and 30.74 is: 42.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.70 : 60.15 = 30.74 : x
  2. Step 2: Convert to fraction form
    43.70/60.15 = 30.74/x
  3. Step 3: Cross multiply
    43.70x = 60.15 × 30.74
  4. Step 4: Simplify right side
    43.70x = 1,849.01
  5. Step 5: Solve for x
    x = 1,849.01/43.70
  6. Step 6: Final answer
    x = 42.31

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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.