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Finding the Fourth Proportional to 282.65, 390.10 and 183.19

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Solution

The fourth proportional to 282.65, 390.10 and 183.19 is: 252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.65 : 390.10 = 183.19 : x
  2. Step 2: Convert to fraction form
    282.65/390.10 = 183.19/x
  3. Step 3: Cross multiply
    282.65x = 390.10 × 183.19
  4. Step 4: Simplify right side
    282.65x = 71,462.42
  5. Step 5: Solve for x
    x = 71,462.42/282.65
  6. Step 6: Final answer
    x = 252.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.