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Finding the Fourth Proportional to 169.04, 253.54 and 47.31

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Solution

The fourth proportional to 169.04, 253.54 and 47.31 is: 70.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 253.54 = 47.31 : x
  2. Step 2: Convert to fraction form
    169.04/253.54 = 47.31/x
  3. Step 3: Cross multiply
    169.04x = 253.54 × 47.31
  4. Step 4: Simplify right side
    169.04x = 11,993.47
  5. Step 5: Solve for x
    x = 11,993.47/169.04
  6. Step 6: Final answer
    x = 70.95

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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.