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Finding the Fourth Proportional to 282.35, 421.66 and 240.77

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Solution

The fourth proportional to 282.35, 421.66 and 240.77 is: 359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.35 : 421.66 = 240.77 : x
  2. Step 2: Convert to fraction form
    282.35/421.66 = 240.77/x
  3. Step 3: Cross multiply
    282.35x = 421.66 × 240.77
  4. Step 4: Simplify right side
    282.35x = 101,520.37
  5. Step 5: Solve for x
    x = 101,520.37/282.35
  6. Step 6: Final answer
    x = 359.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.