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Finding the Fourth Proportional to 390.76, 586.04 and 185.29

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Solution

The fourth proportional to 390.76, 586.04 and 185.29 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.76 : 586.04 = 185.29 : x
  2. Step 2: Convert to fraction form
    390.76/586.04 = 185.29/x
  3. Step 3: Cross multiply
    390.76x = 586.04 × 185.29
  4. Step 4: Simplify right side
    390.76x = 108,584.96
  5. Step 5: Solve for x
    x = 108,584.96/390.76
  6. Step 6: Final answer
    x = 277.88

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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.