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Finding the Fourth Proportional to 43.66, 60.30 and 37.10

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Solution

The fourth proportional to 43.66, 60.30 and 37.10 is: 51.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.66 : 60.30 = 37.10 : x
  2. Step 2: Convert to fraction form
    43.66/60.30 = 37.10/x
  3. Step 3: Cross multiply
    43.66x = 60.30 × 37.10
  4. Step 4: Simplify right side
    43.66x = 2,237.13
  5. Step 5: Solve for x
    x = 2,237.13/43.66
  6. Step 6: Final answer
    x = 51.24

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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.