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Finding the Fourth Proportional to 399.43, 597.86 and 214.07

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Solution

The fourth proportional to 399.43, 597.86 and 214.07 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.43 : 597.86 = 214.07 : x
  2. Step 2: Convert to fraction form
    399.43/597.86 = 214.07/x
  3. Step 3: Cross multiply
    399.43x = 597.86 × 214.07
  4. Step 4: Simplify right side
    399.43x = 127,984.60
  5. Step 5: Solve for x
    x = 127,984.60/399.43
  6. Step 6: Final answer
    x = 320.42

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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.