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Finding the Fourth Proportional to 502.11, 692.82 and 292.30

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Solution

The fourth proportional to 502.11, 692.82 and 292.30 is: 403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.11 : 692.82 = 292.30 : x
  2. Step 2: Convert to fraction form
    502.11/692.82 = 292.30/x
  3. Step 3: Cross multiply
    502.11x = 692.82 × 292.30
  4. Step 4: Simplify right side
    502.11x = 202,509.55
  5. Step 5: Solve for x
    x = 202,509.55/502.11
  6. Step 6: Final answer
    x = 403.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.