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Finding the Fourth Proportional to 134.50, 201.67 and 47.78

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Solution

The fourth proportional to 134.50, 201.67 and 47.78 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.50 : 201.67 = 47.78 : x
  2. Step 2: Convert to fraction form
    134.50/201.67 = 47.78/x
  3. Step 3: Cross multiply
    134.50x = 201.67 × 47.78
  4. Step 4: Simplify right side
    134.50x = 9,635.79
  5. Step 5: Solve for x
    x = 9,635.79/134.50
  6. Step 6: Final answer
    x = 71.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.