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Finding the Fourth Proportional to 305.41, 457.90 and 149.15

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Solution

The fourth proportional to 305.41, 457.90 and 149.15 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.41 : 457.90 = 149.15 : x
  2. Step 2: Convert to fraction form
    305.41/457.90 = 149.15/x
  3. Step 3: Cross multiply
    305.41x = 457.90 × 149.15
  4. Step 4: Simplify right side
    305.41x = 68,295.79
  5. Step 5: Solve for x
    x = 68,295.79/305.41
  6. Step 6: Final answer
    x = 223.62

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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.