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Finding the Fourth Proportional to 40.64, 61.43 and 40.64

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Solution

The fourth proportional to 40.64, 61.43 and 40.64 is: 61.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.64 : 61.43 = 40.64 : x
  2. Step 2: Convert to fraction form
    40.64/61.43 = 40.64/x
  3. Step 3: Cross multiply
    40.64x = 61.43 × 40.64
  4. Step 4: Simplify right side
    40.64x = 2,496.00
  5. Step 5: Solve for x
    x = 2,496.00/40.64
  6. Step 6: Final answer
    x = 61.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.