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Finding the Fourth Proportional to 354.11, 528.78 and 289.24

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Solution

The fourth proportional to 354.11, 528.78 and 289.24 is: 431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.11 : 528.78 = 289.24 : x
  2. Step 2: Convert to fraction form
    354.11/528.78 = 289.24/x
  3. Step 3: Cross multiply
    354.11x = 528.78 × 289.24
  4. Step 4: Simplify right side
    354.11x = 152,943.67
  5. Step 5: Solve for x
    x = 152,943.67/354.11
  6. Step 6: Final answer
    x = 431.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.