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Finding the Fourth Proportional to 390.44, 586.02 and 185.15

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Solution

The fourth proportional to 390.44, 586.02 and 185.15 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.44 : 586.02 = 185.15 : x
  2. Step 2: Convert to fraction form
    390.44/586.02 = 185.15/x
  3. Step 3: Cross multiply
    390.44x = 586.02 × 185.15
  4. Step 4: Simplify right side
    390.44x = 108,498.67
  5. Step 5: Solve for x
    x = 108,498.67/390.44
  6. Step 6: Final answer
    x = 277.89

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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.