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Finding the Fourth Proportional to 247.95, 370.31 and 207.41

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Solution

The fourth proportional to 247.95, 370.31 and 207.41 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.95 : 370.31 = 207.41 : x
  2. Step 2: Convert to fraction form
    247.95/370.31 = 207.41/x
  3. Step 3: Cross multiply
    247.95x = 370.31 × 207.41
  4. Step 4: Simplify right side
    247.95x = 76,803.11
  5. Step 5: Solve for x
    x = 76,803.11/247.95
  6. Step 6: Final answer
    x = 309.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.