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Finding the Fourth Proportional to 62.02, 85.57 and 35.78

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Solution

The fourth proportional to 62.02, 85.57 and 35.78 is: 49.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.02 : 85.57 = 35.78 : x
  2. Step 2: Convert to fraction form
    62.02/85.57 = 35.78/x
  3. Step 3: Cross multiply
    62.02x = 85.57 × 35.78
  4. Step 4: Simplify right side
    62.02x = 3,061.69
  5. Step 5: Solve for x
    x = 3,061.69/62.02
  6. Step 6: Final answer
    x = 49.37

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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.