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Finding the Fourth Proportional to 205.04, 282.72 and 142.91

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Solution

The fourth proportional to 205.04, 282.72 and 142.91 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.04 : 282.72 = 142.91 : x
  2. Step 2: Convert to fraction form
    205.04/282.72 = 142.91/x
  3. Step 3: Cross multiply
    205.04x = 282.72 × 142.91
  4. Step 4: Simplify right side
    205.04x = 40,402.10
  5. Step 5: Solve for x
    x = 40,402.10/205.04
  6. Step 6: Final answer
    x = 197.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.