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Finding the Fourth Proportional to 460.64, 691 and 168.22

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Solution

The fourth proportional to 460.64, 691 and 168.22 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.64 : 691 = 168.22 : x
  2. Step 2: Convert to fraction form
    460.64/691 = 168.22/x
  3. Step 3: Cross multiply
    460.64x = 691 × 168.22
  4. Step 4: Simplify right side
    460.64x = 116,240.02
  5. Step 5: Solve for x
    x = 116,240.02/460.64
  6. Step 6: Final answer
    x = 252.34

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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.