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Finding the Fourth Proportional to 49.47, 67.84 and 49.35

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Solution

The fourth proportional to 49.47, 67.84 and 49.35 is: 67.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.47 : 67.84 = 49.35 : x
  2. Step 2: Convert to fraction form
    49.47/67.84 = 49.35/x
  3. Step 3: Cross multiply
    49.47x = 67.84 × 49.35
  4. Step 4: Simplify right side
    49.47x = 3,347.78
  5. Step 5: Solve for x
    x = 3,347.78/49.47
  6. Step 6: Final answer
    x = 67.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.