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Finding the Fourth Proportional to 238.95, 328.86 and 224.78

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Solution

The fourth proportional to 238.95, 328.86 and 224.78 is: 309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.95 : 328.86 = 224.78 : x
  2. Step 2: Convert to fraction form
    238.95/328.86 = 224.78/x
  3. Step 3: Cross multiply
    238.95x = 328.86 × 224.78
  4. Step 4: Simplify right side
    238.95x = 73,919.51
  5. Step 5: Solve for x
    x = 73,919.51/238.95
  6. Step 6: Final answer
    x = 309.35

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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.