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Finding the Fourth Proportional to 57.42, 78.84 and 49.23

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Solution

The fourth proportional to 57.42, 78.84 and 49.23 is: 67.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 78.84 = 49.23 : x
  2. Step 2: Convert to fraction form
    57.42/78.84 = 49.23/x
  3. Step 3: Cross multiply
    57.42x = 78.84 × 49.23
  4. Step 4: Simplify right side
    57.42x = 3,881.29
  5. Step 5: Solve for x
    x = 3,881.29/57.42
  6. Step 6: Final answer
    x = 67.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.