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Finding the Fourth Proportional to 43.57, 64.86 and 43.37

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Solution

The fourth proportional to 43.57, 64.86 and 43.37 is: 64.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.57 : 64.86 = 43.37 : x
  2. Step 2: Convert to fraction form
    43.57/64.86 = 43.37/x
  3. Step 3: Cross multiply
    43.57x = 64.86 × 43.37
  4. Step 4: Simplify right side
    43.57x = 2,812.98
  5. Step 5: Solve for x
    x = 2,812.98/43.57
  6. Step 6: Final answer
    x = 64.56

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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.