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Finding the Fourth Proportional to 367.80, 548.16 and 355.32

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Solution

The fourth proportional to 367.80, 548.16 and 355.32 is: 529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.80 : 548.16 = 355.32 : x
  2. Step 2: Convert to fraction form
    367.80/548.16 = 355.32/x
  3. Step 3: Cross multiply
    367.80x = 548.16 × 355.32
  4. Step 4: Simplify right side
    367.80x = 194,772.21
  5. Step 5: Solve for x
    x = 194,772.21/367.80
  6. Step 6: Final answer
    x = 529.56

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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.