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Finding the Fourth Proportional to 57.10, 85.76 and 35.46

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Solution

The fourth proportional to 57.10, 85.76 and 35.46 is: 53.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.10 : 85.76 = 35.46 : x
  2. Step 2: Convert to fraction form
    57.10/85.76 = 35.46/x
  3. Step 3: Cross multiply
    57.10x = 85.76 × 35.46
  4. Step 4: Simplify right side
    57.10x = 3,041.05
  5. Step 5: Solve for x
    x = 3,041.05/57.10
  6. Step 6: Final answer
    x = 53.26

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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.