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Finding the Fourth Proportional to 105.57, 157.41 and 102.60

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Solution

The fourth proportional to 105.57, 157.41 and 102.60 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.57 : 157.41 = 102.60 : x
  2. Step 2: Convert to fraction form
    105.57/157.41 = 102.60/x
  3. Step 3: Cross multiply
    105.57x = 157.41 × 102.60
  4. Step 4: Simplify right side
    105.57x = 16,150.27
  5. Step 5: Solve for x
    x = 16,150.27/105.57
  6. Step 6: Final answer
    x = 152.98

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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.