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Finding the Fourth Proportional to 422.83, 633.54 and 260.18

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Solution

The fourth proportional to 422.83, 633.54 and 260.18 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.83 : 633.54 = 260.18 : x
  2. Step 2: Convert to fraction form
    422.83/633.54 = 260.18/x
  3. Step 3: Cross multiply
    422.83x = 633.54 × 260.18
  4. Step 4: Simplify right side
    422.83x = 164,831.27
  5. Step 5: Solve for x
    x = 164,831.27/422.83
  6. Step 6: Final answer
    x = 389.83

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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.