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Finding the Fourth Proportional to 235.84, 324.64 and 218.40

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Solution

The fourth proportional to 235.84, 324.64 and 218.40 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.84 : 324.64 = 218.40 : x
  2. Step 2: Convert to fraction form
    235.84/324.64 = 218.40/x
  3. Step 3: Cross multiply
    235.84x = 324.64 × 218.40
  4. Step 4: Simplify right side
    235.84x = 70,901.38
  5. Step 5: Solve for x
    x = 70,901.38/235.84
  6. Step 6: Final answer
    x = 300.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.