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Finding the Fourth Proportional to 43.40, 64.81 and 38

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Solution

The fourth proportional to 43.40, 64.81 and 38 is: 56.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.40 : 64.81 = 38 : x
  2. Step 2: Convert to fraction form
    43.40/64.81 = 38/x
  3. Step 3: Cross multiply
    43.40x = 64.81 × 38
  4. Step 4: Simplify right side
    43.40x = 2,462.78
  5. Step 5: Solve for x
    x = 2,462.78/43.40
  6. Step 6: Final answer
    x = 56.75

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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.