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Finding the Fourth Proportional to 247.05, 370.51 and 123.53

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Solution

The fourth proportional to 247.05, 370.51 and 123.53 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.05 : 370.51 = 123.53 : x
  2. Step 2: Convert to fraction form
    247.05/370.51 = 123.53/x
  3. Step 3: Cross multiply
    247.05x = 370.51 × 123.53
  4. Step 4: Simplify right side
    247.05x = 45,766.94
  5. Step 5: Solve for x
    x = 45,766.94/247.05
  6. Step 6: Final answer
    x = 185.25

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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.