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Finding the Fourth Proportional to 390.32, 584.99 and 195.38

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Solution

The fourth proportional to 390.32, 584.99 and 195.38 is: 292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.32 : 584.99 = 195.38 : x
  2. Step 2: Convert to fraction form
    390.32/584.99 = 195.38/x
  3. Step 3: Cross multiply
    390.32x = 584.99 × 195.38
  4. Step 4: Simplify right side
    390.32x = 114,292.42
  5. Step 5: Solve for x
    x = 114,292.42/390.32
  6. Step 6: Final answer
    x = 292.82

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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.