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Finding the Fourth Proportional to 460.05, 689.64 and 167.48

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Solution

The fourth proportional to 460.05, 689.64 and 167.48 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.05 : 689.64 = 167.48 : x
  2. Step 2: Convert to fraction form
    460.05/689.64 = 167.48/x
  3. Step 3: Cross multiply
    460.05x = 689.64 × 167.48
  4. Step 4: Simplify right side
    460.05x = 115,497.95
  5. Step 5: Solve for x
    x = 115,497.95/460.05
  6. Step 6: Final answer
    x = 251.06

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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.