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Finding the Fourth Proportional to 134.02, 200.83 and 64.63

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Solution

The fourth proportional to 134.02, 200.83 and 64.63 is: 96.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.02 : 200.83 = 64.63 : x
  2. Step 2: Convert to fraction form
    134.02/200.83 = 64.63/x
  3. Step 3: Cross multiply
    134.02x = 200.83 × 64.63
  4. Step 4: Simplify right side
    134.02x = 12,979.85
  5. Step 5: Solve for x
    x = 12,979.85/134.02
  6. Step 6: Final answer
    x = 96.85

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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.