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Finding the Fourth Proportional to 281.90, 388.96 and 237.82

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Solution

The fourth proportional to 281.90, 388.96 and 237.82 is: 328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.90 : 388.96 = 237.82 : x
  2. Step 2: Convert to fraction form
    281.90/388.96 = 237.82/x
  3. Step 3: Cross multiply
    281.90x = 388.96 × 237.82
  4. Step 4: Simplify right side
    281.90x = 92,502.47
  5. Step 5: Solve for x
    x = 92,502.47/281.90
  6. Step 6: Final answer
    x = 328.14

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