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Finding the Fourth Proportional to 53.69, 79.97 and 49.14

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Solution

The fourth proportional to 53.69, 79.97 and 49.14 is: 73.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 79.97 = 49.14 : x
  2. Step 2: Convert to fraction form
    53.69/79.97 = 49.14/x
  3. Step 3: Cross multiply
    53.69x = 79.97 × 49.14
  4. Step 4: Simplify right side
    53.69x = 3,929.48
  5. Step 5: Solve for x
    x = 3,929.48/53.69
  6. Step 6: Final answer
    x = 73.20

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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.