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Finding the Fourth Proportional to 43.12, 64.36 and 40.08

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Solution

The fourth proportional to 43.12, 64.36 and 40.08 is: 59.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.12 : 64.36 = 40.08 : x
  2. Step 2: Convert to fraction form
    43.12/64.36 = 40.08/x
  3. Step 3: Cross multiply
    43.12x = 64.36 × 40.08
  4. Step 4: Simplify right side
    43.12x = 2,579.55
  5. Step 5: Solve for x
    x = 2,579.55/43.12
  6. Step 6: Final answer
    x = 59.82

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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.