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Finding the Fourth Proportional to 367.74, 548.98 and 354.93

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Solution

The fourth proportional to 367.74, 548.98 and 354.93 is: 529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 548.98 = 354.93 : x
  2. Step 2: Convert to fraction form
    367.74/548.98 = 354.93/x
  3. Step 3: Cross multiply
    367.74x = 548.98 × 354.93
  4. Step 4: Simplify right side
    367.74x = 194,849.47
  5. Step 5: Solve for x
    x = 194,849.47/367.74
  6. Step 6: Final answer
    x = 529.86

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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.