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Finding the Fourth Proportional to 502.10, 692.85 and 305.57

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Solution

The fourth proportional to 502.10, 692.85 and 305.57 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 692.85 = 305.57 : x
  2. Step 2: Convert to fraction form
    502.10/692.85 = 305.57/x
  3. Step 3: Cross multiply
    502.10x = 692.85 × 305.57
  4. Step 4: Simplify right side
    502.10x = 211,717.05
  5. Step 5: Solve for x
    x = 211,717.05/502.10
  6. Step 6: Final answer
    x = 421.66

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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.