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Finding the Fourth Proportional to 282.76, 390.05 and 233.35

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Solution

The fourth proportional to 282.76, 390.05 and 233.35 is: 321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 390.05 = 233.35 : x
  2. Step 2: Convert to fraction form
    282.76/390.05 = 233.35/x
  3. Step 3: Cross multiply
    282.76x = 390.05 × 233.35
  4. Step 4: Simplify right side
    282.76x = 91,016.22
  5. Step 5: Solve for x
    x = 91,016.22/282.76
  6. Step 6: Final answer
    x = 321.89

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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.