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Finding the Fourth Proportional to 282.10, 389.32 and 157.80

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Solution

The fourth proportional to 282.10, 389.32 and 157.80 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.10 : 389.32 = 157.80 : x
  2. Step 2: Convert to fraction form
    282.10/389.32 = 157.80/x
  3. Step 3: Cross multiply
    282.10x = 389.32 × 157.80
  4. Step 4: Simplify right side
    282.10x = 61,434.70
  5. Step 5: Solve for x
    x = 61,434.70/282.10
  6. Step 6: Final answer
    x = 217.78

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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.