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Finding the Fourth Proportional to 206.98, 285.68 and 141.53

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Solution

The fourth proportional to 206.98, 285.68 and 141.53 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.98 : 285.68 = 141.53 : x
  2. Step 2: Convert to fraction form
    206.98/285.68 = 141.53/x
  3. Step 3: Cross multiply
    206.98x = 285.68 × 141.53
  4. Step 4: Simplify right side
    206.98x = 40,431.22
  5. Step 5: Solve for x
    x = 40,431.22/206.98
  6. Step 6: Final answer
    x = 195.34

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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.