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Finding the Fourth Proportional to 247.17, 370.74 and 165.42

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Solution

The fourth proportional to 247.17, 370.74 and 165.42 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.17 : 370.74 = 165.42 : x
  2. Step 2: Convert to fraction form
    247.17/370.74 = 165.42/x
  3. Step 3: Cross multiply
    247.17x = 370.74 × 165.42
  4. Step 4: Simplify right side
    247.17x = 61,327.81
  5. Step 5: Solve for x
    x = 61,327.81/247.17
  6. Step 6: Final answer
    x = 248.12

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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.