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Finding the Fourth Proportional to 354.19, 488.78 and 206.91

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Solution

The fourth proportional to 354.19, 488.78 and 206.91 is: 285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.19 : 488.78 = 206.91 : x
  2. Step 2: Convert to fraction form
    354.19/488.78 = 206.91/x
  3. Step 3: Cross multiply
    354.19x = 488.78 × 206.91
  4. Step 4: Simplify right side
    354.19x = 101,133.47
  5. Step 5: Solve for x
    x = 101,133.47/354.19
  6. Step 6: Final answer
    x = 285.53

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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.