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Finding the Fourth Proportional to 103.59, 141.74 and 103.16

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Solution

The fourth proportional to 103.59, 141.74 and 103.16 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.59 : 141.74 = 103.16 : x
  2. Step 2: Convert to fraction form
    103.59/141.74 = 103.16/x
  3. Step 3: Cross multiply
    103.59x = 141.74 × 103.16
  4. Step 4: Simplify right side
    103.59x = 14,620.67
  5. Step 5: Solve for x
    x = 14,620.67/103.59
  6. Step 6: Final answer
    x = 141.14

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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.