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Finding the Fourth Proportional to 42.16, 58.26 and 31.22

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Solution

The fourth proportional to 42.16, 58.26 and 31.22 is: 43.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.16 : 58.26 = 31.22 : x
  2. Step 2: Convert to fraction form
    42.16/58.26 = 31.22/x
  3. Step 3: Cross multiply
    42.16x = 58.26 × 31.22
  4. Step 4: Simplify right side
    42.16x = 1,818.88
  5. Step 5: Solve for x
    x = 1,818.88/42.16
  6. Step 6: Final answer
    x = 43.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.