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Finding the Fourth Proportional to 100.05, 150.81 and 95.93

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Solution

The fourth proportional to 100.05, 150.81 and 95.93 is: 144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.05 : 150.81 = 95.93 : x
  2. Step 2: Convert to fraction form
    100.05/150.81 = 95.93/x
  3. Step 3: Cross multiply
    100.05x = 150.81 × 95.93
  4. Step 4: Simplify right side
    100.05x = 14,466.45
  5. Step 5: Solve for x
    x = 14,466.45/100.05
  6. Step 6: Final answer
    x = 144.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.