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Finding the Fourth Proportional to 282.51, 423.70 and 206.37

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Solution

The fourth proportional to 282.51, 423.70 and 206.37 is: 309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 423.70 = 206.37 : x
  2. Step 2: Convert to fraction form
    282.51/423.70 = 206.37/x
  3. Step 3: Cross multiply
    282.51x = 423.70 × 206.37
  4. Step 4: Simplify right side
    282.51x = 87,438.45
  5. Step 5: Solve for x
    x = 87,438.45/282.51
  6. Step 6: Final answer
    x = 309.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.