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Finding the Fourth Proportional to 437.24, 603.02 and 289.91

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Solution

The fourth proportional to 437.24, 603.02 and 289.91 is: 399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.24 : 603.02 = 289.91 : x
  2. Step 2: Convert to fraction form
    437.24/603.02 = 289.91/x
  3. Step 3: Cross multiply
    437.24x = 603.02 × 289.91
  4. Step 4: Simplify right side
    437.24x = 174,819.24
  5. Step 5: Solve for x
    x = 174,819.24/437.24
  6. Step 6: Final answer
    x = 399.83

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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.