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Finding the Fourth Proportional to 62.18, 85.70 and 49.22

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Solution

The fourth proportional to 62.18, 85.70 and 49.22 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.18 : 85.70 = 49.22 : x
  2. Step 2: Convert to fraction form
    62.18/85.70 = 49.22/x
  3. Step 3: Cross multiply
    62.18x = 85.70 × 49.22
  4. Step 4: Simplify right side
    62.18x = 4,218.15
  5. Step 5: Solve for x
    x = 4,218.15/62.18
  6. Step 6: Final answer
    x = 67.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.