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Finding the Fourth Proportional to 461.90, 692.48 and 242.48

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Solution

The fourth proportional to 461.90, 692.48 and 242.48 is: 363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 692.48 = 242.48 : x
  2. Step 2: Convert to fraction form
    461.90/692.48 = 242.48/x
  3. Step 3: Cross multiply
    461.90x = 692.48 × 242.48
  4. Step 4: Simplify right side
    461.90x = 167,912.55
  5. Step 5: Solve for x
    x = 167,912.55/461.90
  6. Step 6: Final answer
    x = 363.53

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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.