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Finding the Fourth Proportional to 141.65, 211.40 and 138.01

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Solution

The fourth proportional to 141.65, 211.40 and 138.01 is: 205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.65 : 211.40 = 138.01 : x
  2. Step 2: Convert to fraction form
    141.65/211.40 = 138.01/x
  3. Step 3: Cross multiply
    141.65x = 211.40 × 138.01
  4. Step 4: Simplify right side
    141.65x = 29,175.13
  5. Step 5: Solve for x
    x = 29,175.13/141.65
  6. Step 6: Final answer
    x = 205.96

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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.