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Finding the Fourth Proportional to 398.18, 594.75 and 316.77

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Solution

The fourth proportional to 398.18, 594.75 and 316.77 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.18 : 594.75 = 316.77 : x
  2. Step 2: Convert to fraction form
    398.18/594.75 = 316.77/x
  3. Step 3: Cross multiply
    398.18x = 594.75 × 316.77
  4. Step 4: Simplify right side
    398.18x = 188,398.96
  5. Step 5: Solve for x
    x = 188,398.96/398.18
  6. Step 6: Final answer
    x = 473.16

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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.