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Finding the Fourth Proportional to 84.04, 126.08 and 42.91

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Solution

The fourth proportional to 84.04, 126.08 and 42.91 is: 64.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 126.08 = 42.91 : x
  2. Step 2: Convert to fraction form
    84.04/126.08 = 42.91/x
  3. Step 3: Cross multiply
    84.04x = 126.08 × 42.91
  4. Step 4: Simplify right side
    84.04x = 5,409.72
  5. Step 5: Solve for x
    x = 5,409.72/84.04
  6. Step 6: Final answer
    x = 64.37

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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.