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Finding the Fourth Proportional to 247.77, 370.98 and 186.48

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Solution

The fourth proportional to 247.77, 370.98 and 186.48 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.77 : 370.98 = 186.48 : x
  2. Step 2: Convert to fraction form
    247.77/370.98 = 186.48/x
  3. Step 3: Cross multiply
    247.77x = 370.98 × 186.48
  4. Step 4: Simplify right side
    247.77x = 69,180.35
  5. Step 5: Solve for x
    x = 69,180.35/247.77
  6. Step 6: Final answer
    x = 279.21

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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.