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Finding the Fourth Proportional to 105.23, 156.62 and 100.51

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Solution

The fourth proportional to 105.23, 156.62 and 100.51 is: 149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.23 : 156.62 = 100.51 : x
  2. Step 2: Convert to fraction form
    105.23/156.62 = 100.51/x
  3. Step 3: Cross multiply
    105.23x = 156.62 × 100.51
  4. Step 4: Simplify right side
    105.23x = 15,741.74
  5. Step 5: Solve for x
    x = 15,741.74/105.23
  6. Step 6: Final answer
    x = 149.59

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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.