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Finding the Fourth Proportional to 238.95, 359.64 and 209.25

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Solution

The fourth proportional to 238.95, 359.64 and 209.25 is: 314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.95 : 359.64 = 209.25 : x
  2. Step 2: Convert to fraction form
    238.95/359.64 = 209.25/x
  3. Step 3: Cross multiply
    238.95x = 359.64 × 209.25
  4. Step 4: Simplify right side
    238.95x = 75,254.67
  5. Step 5: Solve for x
    x = 75,254.67/238.95
  6. Step 6: Final answer
    x = 314.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.