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Finding the Fourth Proportional to 104.25, 143.90 and 64.89

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Solution

The fourth proportional to 104.25, 143.90 and 64.89 is: 89.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.25 : 143.90 = 64.89 : x
  2. Step 2: Convert to fraction form
    104.25/143.90 = 64.89/x
  3. Step 3: Cross multiply
    104.25x = 143.90 × 64.89
  4. Step 4: Simplify right side
    104.25x = 9,337.76
  5. Step 5: Solve for x
    x = 9,337.76/104.25
  6. Step 6: Final answer
    x = 89.57

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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.