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Finding the Fourth Proportional to 282.99, 390.80 and 233.31

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Solution

The fourth proportional to 282.99, 390.80 and 233.31 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.99 : 390.80 = 233.31 : x
  2. Step 2: Convert to fraction form
    282.99/390.80 = 233.31/x
  3. Step 3: Cross multiply
    282.99x = 390.80 × 233.31
  4. Step 4: Simplify right side
    282.99x = 91,176.38
  5. Step 5: Solve for x
    x = 91,176.38/282.99
  6. Step 6: Final answer
    x = 322.19

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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.