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Finding the Fourth Proportional to 462.75, 692.38 and 257.46

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Solution

The fourth proportional to 462.75, 692.38 and 257.46 is: 385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 692.38 = 257.46 : x
  2. Step 2: Convert to fraction form
    462.75/692.38 = 257.46/x
  3. Step 3: Cross multiply
    462.75x = 692.38 × 257.46
  4. Step 4: Simplify right side
    462.75x = 178,258.87
  5. Step 5: Solve for x
    x = 178,258.87/462.75
  6. Step 6: Final answer
    x = 385.22

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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.