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Finding the Fourth Proportional to 52.98, 79.92 and 49.74

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Solution

The fourth proportional to 52.98, 79.92 and 49.74 is: 75.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.98 : 79.92 = 49.74 : x
  2. Step 2: Convert to fraction form
    52.98/79.92 = 49.74/x
  3. Step 3: Cross multiply
    52.98x = 79.92 × 49.74
  4. Step 4: Simplify right side
    52.98x = 3,975.22
  5. Step 5: Solve for x
    x = 3,975.22/52.98
  6. Step 6: Final answer
    x = 75.03

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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.