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Finding the Fourth Proportional to 461.90, 692.69 and 202.03

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Solution

The fourth proportional to 461.90, 692.69 and 202.03 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 692.69 = 202.03 : x
  2. Step 2: Convert to fraction form
    461.90/692.69 = 202.03/x
  3. Step 3: Cross multiply
    461.90x = 692.69 × 202.03
  4. Step 4: Simplify right side
    461.90x = 139,941.42
  5. Step 5: Solve for x
    x = 139,941.42/461.90
  6. Step 6: Final answer
    x = 302.97

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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.