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Finding the Fourth Proportional to 305.23, 459.95 and 252.31

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Solution

The fourth proportional to 305.23, 459.95 and 252.31 is: 380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.23 : 459.95 = 252.31 : x
  2. Step 2: Convert to fraction form
    305.23/459.95 = 252.31/x
  3. Step 3: Cross multiply
    305.23x = 459.95 × 252.31
  4. Step 4: Simplify right side
    305.23x = 116,049.98
  5. Step 5: Solve for x
    x = 116,049.98/305.23
  6. Step 6: Final answer
    x = 380.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.