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Finding the Fourth Proportional to 247.02, 369.52 and 166.02

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Solution

The fourth proportional to 247.02, 369.52 and 166.02 is: 248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.02 : 369.52 = 166.02 : x
  2. Step 2: Convert to fraction form
    247.02/369.52 = 166.02/x
  3. Step 3: Cross multiply
    247.02x = 369.52 × 166.02
  4. Step 4: Simplify right side
    247.02x = 61,347.71
  5. Step 5: Solve for x
    x = 61,347.71/247.02
  6. Step 6: Final answer
    x = 248.35

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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.