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Finding the Fourth Proportional to 245.86, 369.15 and 149.74

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Solution

The fourth proportional to 245.86, 369.15 and 149.74 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.86 : 369.15 = 149.74 : x
  2. Step 2: Convert to fraction form
    245.86/369.15 = 149.74/x
  3. Step 3: Cross multiply
    245.86x = 369.15 × 149.74
  4. Step 4: Simplify right side
    245.86x = 55,276.52
  5. Step 5: Solve for x
    x = 55,276.52/245.86
  6. Step 6: Final answer
    x = 224.83

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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.