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Finding the Fourth Proportional to 259.84, 387.85 and 238.20

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Solution

The fourth proportional to 259.84, 387.85 and 238.20 is: 355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.84 : 387.85 = 238.20 : x
  2. Step 2: Convert to fraction form
    259.84/387.85 = 238.20/x
  3. Step 3: Cross multiply
    259.84x = 387.85 × 238.20
  4. Step 4: Simplify right side
    259.84x = 92,384.69
  5. Step 5: Solve for x
    x = 92,384.69/259.84
  6. Step 6: Final answer
    x = 355.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.