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Finding the Fourth Proportional to 104.04, 143.12 and 86.28

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Solution

The fourth proportional to 104.04, 143.12 and 86.28 is: 118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.04 : 143.12 = 86.28 : x
  2. Step 2: Convert to fraction form
    104.04/143.12 = 86.28/x
  3. Step 3: Cross multiply
    104.04x = 143.12 × 86.28
  4. Step 4: Simplify right side
    104.04x = 12,347.96
  5. Step 5: Solve for x
    x = 12,347.96/104.04
  6. Step 6: Final answer
    x = 118.68

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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.