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Finding the Fourth Proportional to 238.33, 328.75 and 212.41

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Solution

The fourth proportional to 238.33, 328.75 and 212.41 is: 293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.33 : 328.75 = 212.41 : x
  2. Step 2: Convert to fraction form
    238.33/328.75 = 212.41/x
  3. Step 3: Cross multiply
    238.33x = 328.75 × 212.41
  4. Step 4: Simplify right side
    238.33x = 69,829.79
  5. Step 5: Solve for x
    x = 69,829.79/238.33
  6. Step 6: Final answer
    x = 293.00

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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.