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Finding the Fourth Proportional to 427.81, 590.15 and 286.27

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Solution

The fourth proportional to 427.81, 590.15 and 286.27 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.81 : 590.15 = 286.27 : x
  2. Step 2: Convert to fraction form
    427.81/590.15 = 286.27/x
  3. Step 3: Cross multiply
    427.81x = 590.15 × 286.27
  4. Step 4: Simplify right side
    427.81x = 168,937.86
  5. Step 5: Solve for x
    x = 168,937.86/427.81
  6. Step 6: Final answer
    x = 394.89

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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.