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Finding the Fourth Proportional to 398.50, 594.65 and 362.14

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Solution

The fourth proportional to 398.50, 594.65 and 362.14 is: 540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.50 : 594.65 = 362.14 : x
  2. Step 2: Convert to fraction form
    398.50/594.65 = 362.14/x
  3. Step 3: Cross multiply
    398.50x = 594.65 × 362.14
  4. Step 4: Simplify right side
    398.50x = 215,346.55
  5. Step 5: Solve for x
    x = 215,346.55/398.50
  6. Step 6: Final answer
    x = 540.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.