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Finding the Fourth Proportional to 461.64, 692.25 and 172.88

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Solution

The fourth proportional to 461.64, 692.25 and 172.88 is: 259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.64 : 692.25 = 172.88 : x
  2. Step 2: Convert to fraction form
    461.64/692.25 = 172.88/x
  3. Step 3: Cross multiply
    461.64x = 692.25 × 172.88
  4. Step 4: Simplify right side
    461.64x = 119,672.72
  5. Step 5: Solve for x
    x = 119,672.72/461.64
  6. Step 6: Final answer
    x = 259.23

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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.