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Finding the Fourth Proportional to 282.51, 421.72 and 244.24

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Solution

The fourth proportional to 282.51, 421.72 and 244.24 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 421.72 = 244.24 : x
  2. Step 2: Convert to fraction form
    282.51/421.72 = 244.24/x
  3. Step 3: Cross multiply
    282.51x = 421.72 × 244.24
  4. Step 4: Simplify right side
    282.51x = 102,999.23
  5. Step 5: Solve for x
    x = 102,999.23/282.51
  6. Step 6: Final answer
    x = 364.59

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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.