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Finding the Fourth Proportional to 398.77, 594.64 and 350.22

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Solution

The fourth proportional to 398.77, 594.64 and 350.22 is: 522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.77 : 594.64 = 350.22 : x
  2. Step 2: Convert to fraction form
    398.77/594.64 = 350.22/x
  3. Step 3: Cross multiply
    398.77x = 594.64 × 350.22
  4. Step 4: Simplify right side
    398.77x = 208,257.49
  5. Step 5: Solve for x
    x = 208,257.49/398.77
  6. Step 6: Final answer
    x = 522.25

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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.