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Finding the Fourth Proportional to 462.19, 692.67 and 266.88

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Solution

The fourth proportional to 462.19, 692.67 and 266.88 is: 399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.19 : 692.67 = 266.88 : x
  2. Step 2: Convert to fraction form
    462.19/692.67 = 266.88/x
  3. Step 3: Cross multiply
    462.19x = 692.67 × 266.88
  4. Step 4: Simplify right side
    462.19x = 184,859.77
  5. Step 5: Solve for x
    x = 184,859.77/462.19
  6. Step 6: Final answer
    x = 399.96

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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.