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Finding the Fourth Proportional to 462.22, 692.84 and 153.78

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Solution

The fourth proportional to 462.22, 692.84 and 153.78 is: 230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.22 : 692.84 = 153.78 : x
  2. Step 2: Convert to fraction form
    462.22/692.84 = 153.78/x
  3. Step 3: Cross multiply
    462.22x = 692.84 × 153.78
  4. Step 4: Simplify right side
    462.22x = 106,544.94
  5. Step 5: Solve for x
    x = 106,544.94/462.22
  6. Step 6: Final answer
    x = 230.51

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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.