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Finding the Fourth Proportional to 390.04, 584.90 and 146.56

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Solution

The fourth proportional to 390.04, 584.90 and 146.56 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.04 : 584.90 = 146.56 : x
  2. Step 2: Convert to fraction form
    390.04/584.90 = 146.56/x
  3. Step 3: Cross multiply
    390.04x = 584.90 × 146.56
  4. Step 4: Simplify right side
    390.04x = 85,722.94
  5. Step 5: Solve for x
    x = 85,722.94/390.04
  6. Step 6: Final answer
    x = 219.78

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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.