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Finding the Fourth Proportional to 282.39, 421.53 and 244.11

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Solution

The fourth proportional to 282.39, 421.53 and 244.11 is: 364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.39 : 421.53 = 244.11 : x
  2. Step 2: Convert to fraction form
    282.39/421.53 = 244.11/x
  3. Step 3: Cross multiply
    282.39x = 421.53 × 244.11
  4. Step 4: Simplify right side
    282.39x = 102,901.35
  5. Step 5: Solve for x
    x = 102,901.35/282.39
  6. Step 6: Final answer
    x = 364.40

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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.