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Finding the Fourth Proportional to 134.04, 200.45 and 99.83

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Solution

The fourth proportional to 134.04, 200.45 and 99.83 is: 149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.04 : 200.45 = 99.83 : x
  2. Step 2: Convert to fraction form
    134.04/200.45 = 99.83/x
  3. Step 3: Cross multiply
    134.04x = 200.45 × 99.83
  4. Step 4: Simplify right side
    134.04x = 20,009.42
  5. Step 5: Solve for x
    x = 20,009.42/134.04
  6. Step 6: Final answer
    x = 149.28

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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.