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Finding the Fourth Proportional to 281.79, 420.84 and 236.18

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Solution

The fourth proportional to 281.79, 420.84 and 236.18 is: 352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.79 : 420.84 = 236.18 : x
  2. Step 2: Convert to fraction form
    281.79/420.84 = 236.18/x
  3. Step 3: Cross multiply
    281.79x = 420.84 × 236.18
  4. Step 4: Simplify right side
    281.79x = 99,390.71
  5. Step 5: Solve for x
    x = 99,390.71/281.79
  6. Step 6: Final answer
    x = 352.71

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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.