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Finding the Fourth Proportional to 281.16, 419.76 and 252.18

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Solution

The fourth proportional to 281.16, 419.76 and 252.18 is: 376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.16 : 419.76 = 252.18 : x
  2. Step 2: Convert to fraction form
    281.16/419.76 = 252.18/x
  3. Step 3: Cross multiply
    281.16x = 419.76 × 252.18
  4. Step 4: Simplify right side
    281.16x = 105,855.08
  5. Step 5: Solve for x
    x = 105,855.08/281.16
  6. Step 6: Final answer
    x = 376.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.