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Finding the Fourth Proportional to 390.79, 586.09 and 116.84

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Solution

The fourth proportional to 390.79, 586.09 and 116.84 is: 175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.79 : 586.09 = 116.84 : x
  2. Step 2: Convert to fraction form
    390.79/586.09 = 116.84/x
  3. Step 3: Cross multiply
    390.79x = 586.09 × 116.84
  4. Step 4: Simplify right side
    390.79x = 68,480.66
  5. Step 5: Solve for x
    x = 68,480.66/390.79
  6. Step 6: Final answer
    x = 175.24

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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.