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Finding the Fourth Proportional to 390.08, 584.30 and 378.74

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Solution

The fourth proportional to 390.08, 584.30 and 378.74 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.08 : 584.30 = 378.74 : x
  2. Step 2: Convert to fraction form
    390.08/584.30 = 378.74/x
  3. Step 3: Cross multiply
    390.08x = 584.30 × 378.74
  4. Step 4: Simplify right side
    390.08x = 221,297.78
  5. Step 5: Solve for x
    x = 221,297.78/390.08
  6. Step 6: Final answer
    x = 567.31

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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.