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Finding the Fourth Proportional to 92.98, 139.44 and 74.98

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Solution

The fourth proportional to 92.98, 139.44 and 74.98 is: 112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.98 : 139.44 = 74.98 : x
  2. Step 2: Convert to fraction form
    92.98/139.44 = 74.98/x
  3. Step 3: Cross multiply
    92.98x = 139.44 × 74.98
  4. Step 4: Simplify right side
    92.98x = 10,455.21
  5. Step 5: Solve for x
    x = 10,455.21/92.98
  6. Step 6: Final answer
    x = 112.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.