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Finding the Fourth Proportional to 461.30, 692.91 and 365.78

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Solution

The fourth proportional to 461.30, 692.91 and 365.78 is: 549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.30 : 692.91 = 365.78 : x
  2. Step 2: Convert to fraction form
    461.30/692.91 = 365.78/x
  3. Step 3: Cross multiply
    461.30x = 692.91 × 365.78
  4. Step 4: Simplify right side
    461.30x = 253,452.62
  5. Step 5: Solve for x
    x = 253,452.62/461.30
  6. Step 6: Final answer
    x = 549.43

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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.