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Finding the Fourth Proportional to 141.06, 210.12 and 134.82

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Solution

The fourth proportional to 141.06, 210.12 and 134.82 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.06 : 210.12 = 134.82 : x
  2. Step 2: Convert to fraction form
    141.06/210.12 = 134.82/x
  3. Step 3: Cross multiply
    141.06x = 210.12 × 134.82
  4. Step 4: Simplify right side
    141.06x = 28,328.38
  5. Step 5: Solve for x
    x = 28,328.38/141.06
  6. Step 6: Final answer
    x = 200.83

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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.