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Finding the Fourth Proportional to 282.76, 421.89 and 248.13

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Solution

The fourth proportional to 282.76, 421.89 and 248.13 is: 370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 421.89 = 248.13 : x
  2. Step 2: Convert to fraction form
    282.76/421.89 = 248.13/x
  3. Step 3: Cross multiply
    282.76x = 421.89 × 248.13
  4. Step 4: Simplify right side
    282.76x = 104,686.08
  5. Step 5: Solve for x
    x = 104,686.08/282.76
  6. Step 6: Final answer
    x = 370.23

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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.