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Finding the Fourth Proportional to 390.92, 589.32 and 365.15

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Solution

The fourth proportional to 390.92, 589.32 and 365.15 is: 550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.92 : 589.32 = 365.15 : x
  2. Step 2: Convert to fraction form
    390.92/589.32 = 365.15/x
  3. Step 3: Cross multiply
    390.92x = 589.32 × 365.15
  4. Step 4: Simplify right side
    390.92x = 215,191.67
  5. Step 5: Solve for x
    x = 215,191.67/390.92
  6. Step 6: Final answer
    x = 550.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.