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Finding the Fourth Proportional to 390.20, 588.57 and 367.74

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Solution

The fourth proportional to 390.20, 588.57 and 367.74 is: 554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.20 : 588.57 = 367.74 : x
  2. Step 2: Convert to fraction form
    390.20/588.57 = 367.74/x
  3. Step 3: Cross multiply
    390.20x = 588.57 × 367.74
  4. Step 4: Simplify right side
    390.20x = 216,440.73
  5. Step 5: Solve for x
    x = 216,440.73/390.20
  6. Step 6: Final answer
    x = 554.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.