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Finding the Fourth Proportional to 692.14, 1,038.28 and 229.92

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Solution

The fourth proportional to 692.14, 1,038.28 and 229.92 is: 344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.14 : 1,038.28 = 229.92 : x
  2. Step 2: Convert to fraction form
    692.14/1,038.28 = 229.92/x
  3. Step 3: Cross multiply
    692.14x = 1,038.28 × 229.92
  4. Step 4: Simplify right side
    692.14x = 238,721.34
  5. Step 5: Solve for x
    x = 238,721.34/692.14
  6. Step 6: Final answer
    x = 344.90

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Why These Related Problems?

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