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Finding the Fourth Proportional to 49.49, 74.51 and 45.24

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Solution

The fourth proportional to 49.49, 74.51 and 45.24 is: 68.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.49 : 74.51 = 45.24 : x
  2. Step 2: Convert to fraction form
    49.49/74.51 = 45.24/x
  3. Step 3: Cross multiply
    49.49x = 74.51 × 45.24
  4. Step 4: Simplify right side
    49.49x = 3,370.95
  5. Step 5: Solve for x
    x = 3,370.95/49.49
  6. Step 6: Final answer
    x = 68.11

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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.