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Finding the Fourth Proportional to 282.30, 389.54 and 165.86

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Solution

The fourth proportional to 282.30, 389.54 and 165.86 is: 228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 389.54 = 165.86 : x
  2. Step 2: Convert to fraction form
    282.30/389.54 = 165.86/x
  3. Step 3: Cross multiply
    282.30x = 389.54 × 165.86
  4. Step 4: Simplify right side
    282.30x = 64,609.10
  5. Step 5: Solve for x
    x = 64,609.10/282.30
  6. Step 6: Final answer
    x = 228.87

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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.