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Finding the Fourth Proportional to 282.10, 374.89 and 282.10

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Solution

The fourth proportional to 282.10, 374.89 and 282.10 is: 374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.10 : 374.89 = 282.10 : x
  2. Step 2: Convert to fraction form
    282.10/374.89 = 282.10/x
  3. Step 3: Cross multiply
    282.10x = 374.89 × 282.10
  4. Step 4: Simplify right side
    282.10x = 105,756.47
  5. Step 5: Solve for x
    x = 105,756.47/282.10
  6. Step 6: Final answer
    x = 374.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.