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Finding the Fourth Proportional to 402.14, 603.54 and 286.86

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Solution

The fourth proportional to 402.14, 603.54 and 286.86 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 603.54 = 286.86 : x
  2. Step 2: Convert to fraction form
    402.14/603.54 = 286.86/x
  3. Step 3: Cross multiply
    402.14x = 603.54 × 286.86
  4. Step 4: Simplify right side
    402.14x = 173,131.48
  5. Step 5: Solve for x
    x = 173,131.48/402.14
  6. Step 6: Final answer
    x = 430.53

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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.