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Finding the Fourth Proportional to 103.66, 141.77 and 103.24

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Solution

The fourth proportional to 103.66, 141.77 and 103.24 is: 141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 141.77 = 103.24 : x
  2. Step 2: Convert to fraction form
    103.66/141.77 = 103.24/x
  3. Step 3: Cross multiply
    103.66x = 141.77 × 103.24
  4. Step 4: Simplify right side
    103.66x = 14,636.33
  5. Step 5: Solve for x
    x = 14,636.33/103.66
  6. Step 6: Final answer
    x = 141.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.