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Finding the Fourth Proportional to 281.48, 420.18 and 243.21

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Solution

The fourth proportional to 281.48, 420.18 and 243.21 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 420.18 = 243.21 : x
  2. Step 2: Convert to fraction form
    281.48/420.18 = 243.21/x
  3. Step 3: Cross multiply
    281.48x = 420.18 × 243.21
  4. Step 4: Simplify right side
    281.48x = 102,191.54
  5. Step 5: Solve for x
    x = 102,191.54/281.48
  6. Step 6: Final answer
    x = 363.05

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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.