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Finding the Fourth Proportional to 315.23, 433.19 and 300.96

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Solution

The fourth proportional to 315.23, 433.19 and 300.96 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.23 : 433.19 = 300.96 : x
  2. Step 2: Convert to fraction form
    315.23/433.19 = 300.96/x
  3. Step 3: Cross multiply
    315.23x = 433.19 × 300.96
  4. Step 4: Simplify right side
    315.23x = 130,373.61
  5. Step 5: Solve for x
    x = 130,373.61/315.23
  6. Step 6: Final answer
    x = 413.59

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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.