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Finding the Fourth Proportional to 502.10, 692.25 and 327.26

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Solution

The fourth proportional to 502.10, 692.25 and 327.26 is: 451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 692.25 = 327.26 : x
  2. Step 2: Convert to fraction form
    502.10/692.25 = 327.26/x
  3. Step 3: Cross multiply
    502.10x = 692.25 × 327.26
  4. Step 4: Simplify right side
    502.10x = 226,545.74
  5. Step 5: Solve for x
    x = 226,545.74/502.10
  6. Step 6: Final answer
    x = 451.20

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