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Finding the Fourth Proportional to 134.03, 200.00 and 106.30

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Solution

The fourth proportional to 134.03, 200.00 and 106.30 is: 158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.03 : 200.00 = 106.30 : x
  2. Step 2: Convert to fraction form
    134.03/200.00 = 106.30/x
  3. Step 3: Cross multiply
    134.03x = 200.00 × 106.30
  4. Step 4: Simplify right side
    134.03x = 21,259.77
  5. Step 5: Solve for x
    x = 21,259.77/134.03
  6. Step 6: Final answer
    x = 158.62

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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.