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Finding the Fourth Proportional to 74.98, 113.18 and 74.98

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Solution

The fourth proportional to 74.98, 113.18 and 74.98 is: 113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.98 : 113.18 = 74.98 : x
  2. Step 2: Convert to fraction form
    74.98/113.18 = 74.98/x
  3. Step 3: Cross multiply
    74.98x = 113.18 × 74.98
  4. Step 4: Simplify right side
    74.98x = 8,486.00
  5. Step 5: Solve for x
    x = 8,486.00/74.98
  6. Step 6: Final answer
    x = 113.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.