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Finding the Fourth Proportional to 380.24, 567.58 and 326.48

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Solution

The fourth proportional to 380.24, 567.58 and 326.48 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.24 : 567.58 = 326.48 : x
  2. Step 2: Convert to fraction form
    380.24/567.58 = 326.48/x
  3. Step 3: Cross multiply
    380.24x = 567.58 × 326.48
  4. Step 4: Simplify right side
    380.24x = 185,303.52
  5. Step 5: Solve for x
    x = 185,303.52/380.24
  6. Step 6: Final answer
    x = 487.33

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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.