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Finding the Fourth Proportional to 460.78, 691.48 and 172.22

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Solution

The fourth proportional to 460.78, 691.48 and 172.22 is: 258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.78 : 691.48 = 172.22 : x
  2. Step 2: Convert to fraction form
    460.78/691.48 = 172.22/x
  3. Step 3: Cross multiply
    460.78x = 691.48 × 172.22
  4. Step 4: Simplify right side
    460.78x = 119,086.69
  5. Step 5: Solve for x
    x = 119,086.69/460.78
  6. Step 6: Final answer
    x = 258.45

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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.