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Finding the Fourth Proportional to 42.40, 58 and 42.22

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Solution

The fourth proportional to 42.40, 58 and 42.22 is: 57.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.40 : 58 = 42.22 : x
  2. Step 2: Convert to fraction form
    42.40/58 = 42.22/x
  3. Step 3: Cross multiply
    42.40x = 58 × 42.22
  4. Step 4: Simplify right side
    42.40x = 2,448.76
  5. Step 5: Solve for x
    x = 2,448.76/42.40
  6. Step 6: Final answer
    x = 57.75

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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.