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Finding the Fourth Proportional to 105.84, 157.80 and 100.08

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Solution

The fourth proportional to 105.84, 157.80 and 100.08 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 157.80 = 100.08 : x
  2. Step 2: Convert to fraction form
    105.84/157.80 = 100.08/x
  3. Step 3: Cross multiply
    105.84x = 157.80 × 100.08
  4. Step 4: Simplify right side
    105.84x = 15,792.62
  5. Step 5: Solve for x
    x = 15,792.62/105.84
  6. Step 6: Final answer
    x = 149.21

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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.