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Finding the Fourth Proportional to 692.36, 1,038.76 and 205.42

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Solution

The fourth proportional to 692.36, 1,038.76 and 205.42 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.36 : 1,038.76 = 205.42 : x
  2. Step 2: Convert to fraction form
    692.36/1,038.76 = 205.42/x
  3. Step 3: Cross multiply
    692.36x = 1,038.76 × 205.42
  4. Step 4: Simplify right side
    692.36x = 213,382.08
  5. Step 5: Solve for x
    x = 213,382.08/692.36
  6. Step 6: Final answer
    x = 308.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.