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Finding the Fourth Proportional to 57.06, 78.75 and 31.19

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Solution

The fourth proportional to 57.06, 78.75 and 31.19 is: 43.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.06 : 78.75 = 31.19 : x
  2. Step 2: Convert to fraction form
    57.06/78.75 = 31.19/x
  3. Step 3: Cross multiply
    57.06x = 78.75 × 31.19
  4. Step 4: Simplify right side
    57.06x = 2,455.94
  5. Step 5: Solve for x
    x = 2,455.94/57.06
  6. Step 6: Final answer
    x = 43.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.