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Finding the Fourth Proportional to 398.08, 594.59 and 381.16

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Solution

The fourth proportional to 398.08, 594.59 and 381.16 is: 569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.08 : 594.59 = 381.16 : x
  2. Step 2: Convert to fraction form
    398.08/594.59 = 381.16/x
  3. Step 3: Cross multiply
    398.08x = 594.59 × 381.16
  4. Step 4: Simplify right side
    398.08x = 226,633.92
  5. Step 5: Solve for x
    x = 226,633.92/398.08
  6. Step 6: Final answer
    x = 569.32

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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.