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Finding the Fourth Proportional to 151.32, 208.72 and 104.68

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Solution

The fourth proportional to 151.32, 208.72 and 104.68 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.32 : 208.72 = 104.68 : x
  2. Step 2: Convert to fraction form
    151.32/208.72 = 104.68/x
  3. Step 3: Cross multiply
    151.32x = 208.72 × 104.68
  4. Step 4: Simplify right side
    151.32x = 21,848.81
  5. Step 5: Solve for x
    x = 21,848.81/151.32
  6. Step 6: Final answer
    x = 144.39

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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.