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Finding the Fourth Proportional to 141.04, 211.60 and 84

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Solution

The fourth proportional to 141.04, 211.60 and 84 is: 126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.04 : 211.60 = 84 : x
  2. Step 2: Convert to fraction form
    141.04/211.60 = 84/x
  3. Step 3: Cross multiply
    141.04x = 211.60 × 84
  4. Step 4: Simplify right side
    141.04x = 17,774.40
  5. Step 5: Solve for x
    x = 17,774.40/141.04
  6. Step 6: Final answer
    x = 126.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.