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Finding the Fourth Proportional to 460.96, 691.44 and 136.35

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Solution

The fourth proportional to 460.96, 691.44 and 136.35 is: 204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 691.44 = 136.35 : x
  2. Step 2: Convert to fraction form
    460.96/691.44 = 136.35/x
  3. Step 3: Cross multiply
    460.96x = 691.44 × 136.35
  4. Step 4: Simplify right side
    460.96x = 94,277.33
  5. Step 5: Solve for x
    x = 94,277.33/460.96
  6. Step 6: Final answer
    x = 204.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.