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Finding the Fourth Proportional to 282.14, 420.63 and 274.91

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Solution

The fourth proportional to 282.14, 420.63 and 274.91 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.14 : 420.63 = 274.91 : x
  2. Step 2: Convert to fraction form
    282.14/420.63 = 274.91/x
  3. Step 3: Cross multiply
    282.14x = 420.63 × 274.91
  4. Step 4: Simplify right side
    282.14x = 115,633.29
  5. Step 5: Solve for x
    x = 115,633.29/282.14
  6. Step 6: Final answer
    x = 409.85

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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.