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Finding the Fourth Proportional to 367.93, 548.80 and 342.42

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Solution

The fourth proportional to 367.93, 548.80 and 342.42 is: 510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.93 : 548.80 = 342.42 : x
  2. Step 2: Convert to fraction form
    367.93/548.80 = 342.42/x
  3. Step 3: Cross multiply
    367.93x = 548.80 × 342.42
  4. Step 4: Simplify right side
    367.93x = 187,917.18
  5. Step 5: Solve for x
    x = 187,917.18/367.93
  6. Step 6: Final answer
    x = 510.74

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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.