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Finding the Fourth Proportional to 391.10, 586.16 and 342.24

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Solution

The fourth proportional to 391.10, 586.16 and 342.24 is: 512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.10 : 586.16 = 342.24 : x
  2. Step 2: Convert to fraction form
    391.10/586.16 = 342.24/x
  3. Step 3: Cross multiply
    391.10x = 586.16 × 342.24
  4. Step 4: Simplify right side
    391.10x = 200,607.40
  5. Step 5: Solve for x
    x = 200,607.40/391.10
  6. Step 6: Final answer
    x = 512.93

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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.