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Finding the Fourth Proportional to 282.51, 390.06 and 212.69

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Solution

The fourth proportional to 282.51, 390.06 and 212.69 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 390.06 = 212.69 : x
  2. Step 2: Convert to fraction form
    282.51/390.06 = 212.69/x
  3. Step 3: Cross multiply
    282.51x = 390.06 × 212.69
  4. Step 4: Simplify right side
    282.51x = 82,959.91
  5. Step 5: Solve for x
    x = 82,959.91/282.51
  6. Step 6: Final answer
    x = 293.65

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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.