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Finding the Fourth Proportional to 462.12, 692.48 and 256.75

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Solution

The fourth proportional to 462.12, 692.48 and 256.75 is: 384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.12 : 692.48 = 256.75 : x
  2. Step 2: Convert to fraction form
    462.12/692.48 = 256.75/x
  3. Step 3: Cross multiply
    462.12x = 692.48 × 256.75
  4. Step 4: Simplify right side
    462.12x = 177,794.24
  5. Step 5: Solve for x
    x = 177,794.24/462.12
  6. Step 6: Final answer
    x = 384.74

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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.