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Finding the Fourth Proportional to 394.14, 590.01 and 271.02

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Solution

The fourth proportional to 394.14, 590.01 and 271.02 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.14 : 590.01 = 271.02 : x
  2. Step 2: Convert to fraction form
    394.14/590.01 = 271.02/x
  3. Step 3: Cross multiply
    394.14x = 590.01 × 271.02
  4. Step 4: Simplify right side
    394.14x = 159,904.51
  5. Step 5: Solve for x
    x = 159,904.51/394.14
  6. Step 6: Final answer
    x = 405.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.