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Finding the Fourth Proportional to 109.84, 151.59 and 103.36

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Solution

The fourth proportional to 109.84, 151.59 and 103.36 is: 142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 151.59 = 103.36 : x
  2. Step 2: Convert to fraction form
    109.84/151.59 = 103.36/x
  3. Step 3: Cross multiply
    109.84x = 151.59 × 103.36
  4. Step 4: Simplify right side
    109.84x = 15,668.34
  5. Step 5: Solve for x
    x = 15,668.34/109.84
  6. Step 6: Final answer
    x = 142.65

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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.