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Finding the Fourth Proportional to 134.50, 200.65 and 130.78

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Solution

The fourth proportional to 134.50, 200.65 and 130.78 is: 195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.50 : 200.65 = 130.78 : x
  2. Step 2: Convert to fraction form
    134.50/200.65 = 130.78/x
  3. Step 3: Cross multiply
    134.50x = 200.65 × 130.78
  4. Step 4: Simplify right side
    134.50x = 26,240.18
  5. Step 5: Solve for x
    x = 26,240.18/134.50
  6. Step 6: Final answer
    x = 195.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.