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Finding the Fourth Proportional to 151.10, 225.73 and 105.06

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Solution

The fourth proportional to 151.10, 225.73 and 105.06 is: 156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.10 : 225.73 = 105.06 : x
  2. Step 2: Convert to fraction form
    151.10/225.73 = 105.06/x
  3. Step 3: Cross multiply
    151.10x = 225.73 × 105.06
  4. Step 4: Simplify right side
    151.10x = 23,715.19
  5. Step 5: Solve for x
    x = 23,715.19/151.10
  6. Step 6: Final answer
    x = 156.95

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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.