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Finding the Fourth Proportional to 282.18, 421.14 and 274.89

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Solution

The fourth proportional to 282.18, 421.14 and 274.89 is: 410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.18 : 421.14 = 274.89 : x
  2. Step 2: Convert to fraction form
    282.18/421.14 = 274.89/x
  3. Step 3: Cross multiply
    282.18x = 421.14 × 274.89
  4. Step 4: Simplify right side
    282.18x = 115,767.17
  5. Step 5: Solve for x
    x = 115,767.17/282.18
  6. Step 6: Final answer
    x = 410.26

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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.