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Finding the Fourth Proportional to 74.24, 110.92 and 58.22

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Solution

The fourth proportional to 74.24, 110.92 and 58.22 is: 86.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.24 : 110.92 = 58.22 : x
  2. Step 2: Convert to fraction form
    74.24/110.92 = 58.22/x
  3. Step 3: Cross multiply
    74.24x = 110.92 × 58.22
  4. Step 4: Simplify right side
    74.24x = 6,457.76
  5. Step 5: Solve for x
    x = 6,457.76/74.24
  6. Step 6: Final answer
    x = 86.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.