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Finding the Fourth Proportional to 142.12, 211.82 and 141.04

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Solution

The fourth proportional to 142.12, 211.82 and 141.04 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.12 : 211.82 = 141.04 : x
  2. Step 2: Convert to fraction form
    142.12/211.82 = 141.04/x
  3. Step 3: Cross multiply
    142.12x = 211.82 × 141.04
  4. Step 4: Simplify right side
    142.12x = 29,875.09
  5. Step 5: Solve for x
    x = 29,875.09/142.12
  6. Step 6: Final answer
    x = 210.21

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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.