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Finding the Fourth Proportional to 43.50, 64.95 and 34.86

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Solution

The fourth proportional to 43.50, 64.95 and 34.86 is: 52.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.50 : 64.95 = 34.86 : x
  2. Step 2: Convert to fraction form
    43.50/64.95 = 34.86/x
  3. Step 3: Cross multiply
    43.50x = 64.95 × 34.86
  4. Step 4: Simplify right side
    43.50x = 2,264.16
  5. Step 5: Solve for x
    x = 2,264.16/43.50
  6. Step 6: Final answer
    x = 52.05

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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.