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Finding the Fourth Proportional to 62.40, 85.20 and 61.68

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Solution

The fourth proportional to 62.40, 85.20 and 61.68 is: 84.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.40 : 85.20 = 61.68 : x
  2. Step 2: Convert to fraction form
    62.40/85.20 = 61.68/x
  3. Step 3: Cross multiply
    62.40x = 85.20 × 61.68
  4. Step 4: Simplify right side
    62.40x = 5,255.14
  5. Step 5: Solve for x
    x = 5,255.14/62.40
  6. Step 6: Final answer
    x = 84.22

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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.