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Finding the Fourth Proportional to 165.19, 247.78 and 49.63

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Solution

The fourth proportional to 165.19, 247.78 and 49.63 is: 74.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 247.78 = 49.63 : x
  2. Step 2: Convert to fraction form
    165.19/247.78 = 49.63/x
  3. Step 3: Cross multiply
    165.19x = 247.78 × 49.63
  4. Step 4: Simplify right side
    165.19x = 12,297.82
  5. Step 5: Solve for x
    x = 12,297.82/165.19
  6. Step 6: Final answer
    x = 74.45

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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.