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Finding the Fourth Proportional to 390.12, 584.88 and 146.64

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Solution

The fourth proportional to 390.12, 584.88 and 146.64 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.12 : 584.88 = 146.64 : x
  2. Step 2: Convert to fraction form
    390.12/584.88 = 146.64/x
  3. Step 3: Cross multiply
    390.12x = 584.88 × 146.64
  4. Step 4: Simplify right side
    390.12x = 85,766.80
  5. Step 5: Solve for x
    x = 85,766.80/390.12
  6. Step 6: Final answer
    x = 219.85

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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.