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Finding the Fourth Proportional to 169.49, 253.01 and 148.99

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Solution

The fourth proportional to 169.49, 253.01 and 148.99 is: 222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.49 : 253.01 = 148.99 : x
  2. Step 2: Convert to fraction form
    169.49/253.01 = 148.99/x
  3. Step 3: Cross multiply
    169.49x = 253.01 × 148.99
  4. Step 4: Simplify right side
    169.49x = 37,695.96
  5. Step 5: Solve for x
    x = 37,695.96/169.49
  6. Step 6: Final answer
    x = 222.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.