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Finding the Fourth Proportional to 355.20, 486.24 and 344.16

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Solution

The fourth proportional to 355.20, 486.24 and 344.16 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 486.24 = 344.16 : x
  2. Step 2: Convert to fraction form
    355.20/486.24 = 344.16/x
  3. Step 3: Cross multiply
    355.20x = 486.24 × 344.16
  4. Step 4: Simplify right side
    355.20x = 167,344.36
  5. Step 5: Solve for x
    x = 167,344.36/355.20
  6. Step 6: Final answer
    x = 471.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.