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Finding the Fourth Proportional to 432.91, 649.36 and 356.81

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Solution

The fourth proportional to 432.91, 649.36 and 356.81 is: 535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.91 : 649.36 = 356.81 : x
  2. Step 2: Convert to fraction form
    432.91/649.36 = 356.81/x
  3. Step 3: Cross multiply
    432.91x = 649.36 × 356.81
  4. Step 4: Simplify right side
    432.91x = 231,698.87
  5. Step 5: Solve for x
    x = 231,698.87/432.91
  6. Step 6: Final answer
    x = 535.22

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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.