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Finding the Fourth Proportional to 502.12, 692.94 and 278.08

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Solution

The fourth proportional to 502.12, 692.94 and 278.08 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 692.94 = 278.08 : x
  2. Step 2: Convert to fraction form
    502.12/692.94 = 278.08/x
  3. Step 3: Cross multiply
    502.12x = 692.94 × 278.08
  4. Step 4: Simplify right side
    502.12x = 192,692.76
  5. Step 5: Solve for x
    x = 192,692.76/502.12
  6. Step 6: Final answer
    x = 383.76

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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.