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Finding the Fourth Proportional to 299.84, 448.20 and 259.17

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Solution

The fourth proportional to 299.84, 448.20 and 259.17 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 448.20 = 259.17 : x
  2. Step 2: Convert to fraction form
    299.84/448.20 = 259.17/x
  3. Step 3: Cross multiply
    299.84x = 448.20 × 259.17
  4. Step 4: Simplify right side
    299.84x = 116,158.31
  5. Step 5: Solve for x
    x = 116,158.31/299.84
  6. Step 6: Final answer
    x = 387.41

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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.