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Finding the Fourth Proportional to 390.87, 584.58 and 347.84

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Solution

The fourth proportional to 390.87, 584.58 and 347.84 is: 520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.87 : 584.58 = 347.84 : x
  2. Step 2: Convert to fraction form
    390.87/584.58 = 347.84/x
  3. Step 3: Cross multiply
    390.87x = 584.58 × 347.84
  4. Step 4: Simplify right side
    390.87x = 203,340.31
  5. Step 5: Solve for x
    x = 203,340.31/390.87
  6. Step 6: Final answer
    x = 520.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.