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Finding the Fourth Proportional to 105.18, 157.77 and 57.39

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Solution

The fourth proportional to 105.18, 157.77 and 57.39 is: 86.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.18 : 157.77 = 57.39 : x
  2. Step 2: Convert to fraction form
    105.18/157.77 = 57.39/x
  3. Step 3: Cross multiply
    105.18x = 157.77 × 57.39
  4. Step 4: Simplify right side
    105.18x = 9,054.42
  5. Step 5: Solve for x
    x = 9,054.42/105.18
  6. Step 6: Final answer
    x = 86.09

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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.