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Finding the Fourth Proportional to 42.45, 64.01 and 40.56

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Solution

The fourth proportional to 42.45, 64.01 and 40.56 is: 61.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.45 : 64.01 = 40.56 : x
  2. Step 2: Convert to fraction form
    42.45/64.01 = 40.56/x
  3. Step 3: Cross multiply
    42.45x = 64.01 × 40.56
  4. Step 4: Simplify right side
    42.45x = 2,596.25
  5. Step 5: Solve for x
    x = 2,596.25/42.45
  6. Step 6: Final answer
    x = 61.16

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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.