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Finding the Fourth Proportional to 462.38, 692.88 and 365.12

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Solution

The fourth proportional to 462.38, 692.88 and 365.12 is: 547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 692.88 = 365.12 : x
  2. Step 2: Convert to fraction form
    462.38/692.88 = 365.12/x
  3. Step 3: Cross multiply
    462.38x = 692.88 × 365.12
  4. Step 4: Simplify right side
    462.38x = 252,980.88
  5. Step 5: Solve for x
    x = 252,980.88/462.38
  6. Step 6: Final answer
    x = 547.13

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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.