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Finding the Fourth Proportional to 402.84, 603.78 and 258.12

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Solution

The fourth proportional to 402.84, 603.78 and 258.12 is: 386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 603.78 = 258.12 : x
  2. Step 2: Convert to fraction form
    402.84/603.78 = 258.12/x
  3. Step 3: Cross multiply
    402.84x = 603.78 × 258.12
  4. Step 4: Simplify right side
    402.84x = 155,847.69
  5. Step 5: Solve for x
    x = 155,847.69/402.84
  6. Step 6: Final answer
    x = 386.87

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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.