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Finding the Fourth Proportional to 281.16, 387.57 and 202.44

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Solution

The fourth proportional to 281.16, 387.57 and 202.44 is: 279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.16 : 387.57 = 202.44 : x
  2. Step 2: Convert to fraction form
    281.16/387.57 = 202.44/x
  3. Step 3: Cross multiply
    281.16x = 387.57 × 202.44
  4. Step 4: Simplify right side
    281.16x = 78,459.67
  5. Step 5: Solve for x
    x = 78,459.67/281.16
  6. Step 6: Final answer
    x = 279.06

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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.