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Finding the Fourth Proportional to 461.66, 692.38 and 288.24

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Solution

The fourth proportional to 461.66, 692.38 and 288.24 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.66 : 692.38 = 288.24 : x
  2. Step 2: Convert to fraction form
    461.66/692.38 = 288.24/x
  3. Step 3: Cross multiply
    461.66x = 692.38 × 288.24
  4. Step 4: Simplify right side
    461.66x = 199,571.61
  5. Step 5: Solve for x
    x = 199,571.61/461.66
  6. Step 6: Final answer
    x = 432.29

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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.