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Finding the Fourth Proportional to 398.83, 597.69 and 215.83

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Solution

The fourth proportional to 398.83, 597.69 and 215.83 is: 323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.83 : 597.69 = 215.83 : x
  2. Step 2: Convert to fraction form
    398.83/597.69 = 215.83/x
  3. Step 3: Cross multiply
    398.83x = 597.69 × 215.83
  4. Step 4: Simplify right side
    398.83x = 128,999.43
  5. Step 5: Solve for x
    x = 128,999.43/398.83
  6. Step 6: Final answer
    x = 323.44

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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.