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Finding the Fourth Proportional to 105.01, 157.37 and 79.49

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Solution

The fourth proportional to 105.01, 157.37 and 79.49 is: 119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.01 : 157.37 = 79.49 : x
  2. Step 2: Convert to fraction form
    105.01/157.37 = 79.49/x
  3. Step 3: Cross multiply
    105.01x = 157.37 × 79.49
  4. Step 4: Simplify right side
    105.01x = 12,509.34
  5. Step 5: Solve for x
    x = 12,509.34/105.01
  6. Step 6: Final answer
    x = 119.13

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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.