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Finding the Fourth Proportional to 283.30, 390.92 and 166.86

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Solution

The fourth proportional to 283.30, 390.92 and 166.86 is: 230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.30 : 390.92 = 166.86 : x
  2. Step 2: Convert to fraction form
    283.30/390.92 = 166.86/x
  3. Step 3: Cross multiply
    283.30x = 390.92 × 166.86
  4. Step 4: Simplify right side
    283.30x = 65,228.91
  5. Step 5: Solve for x
    x = 65,228.91/283.30
  6. Step 6: Final answer
    x = 230.25

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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.