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Finding the Fourth Proportional to 431.16, 649.30 and 388.33

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Solution

The fourth proportional to 431.16, 649.30 and 388.33 is: 584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 649.30 = 388.33 : x
  2. Step 2: Convert to fraction form
    431.16/649.30 = 388.33/x
  3. Step 3: Cross multiply
    431.16x = 649.30 × 388.33
  4. Step 4: Simplify right side
    431.16x = 252,142.67
  5. Step 5: Solve for x
    x = 252,142.67/431.16
  6. Step 6: Final answer
    x = 584.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.