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Finding the Fourth Proportional to 360.96, 538.16 and 351.68

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Solution

The fourth proportional to 360.96, 538.16 and 351.68 is: 524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 538.16 = 351.68 : x
  2. Step 2: Convert to fraction form
    360.96/538.16 = 351.68/x
  3. Step 3: Cross multiply
    360.96x = 538.16 × 351.68
  4. Step 4: Simplify right side
    360.96x = 189,260.11
  5. Step 5: Solve for x
    x = 189,260.11/360.96
  6. Step 6: Final answer
    x = 524.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.