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Finding the Fourth Proportional to 314.52, 433.38 and 300.36

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Solution

The fourth proportional to 314.52, 433.38 and 300.36 is: 413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 433.38 = 300.36 : x
  2. Step 2: Convert to fraction form
    314.52/433.38 = 300.36/x
  3. Step 3: Cross multiply
    314.52x = 433.38 × 300.36
  4. Step 4: Simplify right side
    314.52x = 130,170.02
  5. Step 5: Solve for x
    x = 130,170.02/314.52
  6. Step 6: Final answer
    x = 413.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.