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Finding the Fourth Proportional to 105.00, 157.48 and 84.83

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Solution

The fourth proportional to 105.00, 157.48 and 84.83 is: 127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.00 : 157.48 = 84.83 : x
  2. Step 2: Convert to fraction form
    105.00/157.48 = 84.83/x
  3. Step 3: Cross multiply
    105.00x = 157.48 × 84.83
  4. Step 4: Simplify right side
    105.00x = 13,358.03
  5. Step 5: Solve for x
    x = 13,358.03/105.00
  6. Step 6: Final answer
    x = 127.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.