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Finding the Fourth Proportional to 301.84, 451.18 and 261.17

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Solution

The fourth proportional to 301.84, 451.18 and 261.17 is: 390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 451.18 = 261.17 : x
  2. Step 2: Convert to fraction form
    301.84/451.18 = 261.17/x
  3. Step 3: Cross multiply
    301.84x = 451.18 × 261.17
  4. Step 4: Simplify right side
    301.84x = 117,834.68
  5. Step 5: Solve for x
    x = 117,834.68/301.84
  6. Step 6: Final answer
    x = 390.39

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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.