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Finding the Fourth Proportional to 387.11, 577.31 and 329.70

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Solution

The fourth proportional to 387.11, 577.31 and 329.70 is: 491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.11 : 577.31 = 329.70 : x
  2. Step 2: Convert to fraction form
    387.11/577.31 = 329.70/x
  3. Step 3: Cross multiply
    387.11x = 577.31 × 329.70
  4. Step 4: Simplify right side
    387.11x = 190,341.48
  5. Step 5: Solve for x
    x = 190,341.48/387.11
  6. Step 6: Final answer
    x = 491.70

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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.