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Finding the Fourth Proportional to 42.16, 57.75 and 40.62

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Solution

The fourth proportional to 42.16, 57.75 and 40.62 is: 55.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.16 : 57.75 = 40.62 : x
  2. Step 2: Convert to fraction form
    42.16/57.75 = 40.62/x
  3. Step 3: Cross multiply
    42.16x = 57.75 × 40.62
  4. Step 4: Simplify right side
    42.16x = 2,345.81
  5. Step 5: Solve for x
    x = 2,345.81/42.16
  6. Step 6: Final answer
    x = 55.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.