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Finding the Fourth Proportional to 391.04, 586.69 and 174.62

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Solution

The fourth proportional to 391.04, 586.69 and 174.62 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.04 : 586.69 = 174.62 : x
  2. Step 2: Convert to fraction form
    391.04/586.69 = 174.62/x
  3. Step 3: Cross multiply
    391.04x = 586.69 × 174.62
  4. Step 4: Simplify right side
    391.04x = 102,447.81
  5. Step 5: Solve for x
    x = 102,447.81/391.04
  6. Step 6: Final answer
    x = 261.99

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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.