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Finding the Fourth Proportional to 461.68, 692.88 and 278.56

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Solution

The fourth proportional to 461.68, 692.88 and 278.56 is: 418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 692.88 = 278.56 : x
  2. Step 2: Convert to fraction form
    461.68/692.88 = 278.56/x
  3. Step 3: Cross multiply
    461.68x = 692.88 × 278.56
  4. Step 4: Simplify right side
    461.68x = 193,008.65
  5. Step 5: Solve for x
    x = 193,008.65/461.68
  6. Step 6: Final answer
    x = 418.06

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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.