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Finding the Fourth Proportional to 282.32, 389.66 and 230.20

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Solution

The fourth proportional to 282.32, 389.66 and 230.20 is: 317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.32 : 389.66 = 230.20 : x
  2. Step 2: Convert to fraction form
    282.32/389.66 = 230.20/x
  3. Step 3: Cross multiply
    282.32x = 389.66 × 230.20
  4. Step 4: Simplify right side
    282.32x = 89,699.73
  5. Step 5: Solve for x
    x = 89,699.73/282.32
  6. Step 6: Final answer
    x = 317.72

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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.