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Finding the Fourth Proportional to 103.83, 143.25 and 64.49

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Solution

The fourth proportional to 103.83, 143.25 and 64.49 is: 88.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.83 : 143.25 = 64.49 : x
  2. Step 2: Convert to fraction form
    103.83/143.25 = 64.49/x
  3. Step 3: Cross multiply
    103.83x = 143.25 × 64.49
  4. Step 4: Simplify right side
    103.83x = 9,237.48
  5. Step 5: Solve for x
    x = 9,237.48/103.83
  6. Step 6: Final answer
    x = 88.97

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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.