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Finding the Fourth Proportional to 354.78, 490.86 and 289.17

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Solution

The fourth proportional to 354.78, 490.86 and 289.17 is: 400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 490.86 = 289.17 : x
  2. Step 2: Convert to fraction form
    354.78/490.86 = 289.17/x
  3. Step 3: Cross multiply
    354.78x = 490.86 × 289.17
  4. Step 4: Simplify right side
    354.78x = 141,941.99
  5. Step 5: Solve for x
    x = 141,941.99/354.78
  6. Step 6: Final answer
    x = 400.08

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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.