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Finding the Fourth Proportional to 314.41, 431.18 and 301.27

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Solution

The fourth proportional to 314.41, 431.18 and 301.27 is: 413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.41 : 431.18 = 301.27 : x
  2. Step 2: Convert to fraction form
    314.41/431.18 = 301.27/x
  3. Step 3: Cross multiply
    314.41x = 431.18 × 301.27
  4. Step 4: Simplify right side
    314.41x = 129,901.60
  5. Step 5: Solve for x
    x = 129,901.60/314.41
  6. Step 6: Final answer
    x = 413.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.