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Finding the Fourth Proportional to 520.22, 717.76 and 296.16

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Solution

The fourth proportional to 520.22, 717.76 and 296.16 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 717.76 = 296.16 : x
  2. Step 2: Convert to fraction form
    520.22/717.76 = 296.16/x
  3. Step 3: Cross multiply
    520.22x = 717.76 × 296.16
  4. Step 4: Simplify right side
    520.22x = 212,573.89
  5. Step 5: Solve for x
    x = 212,573.89/520.22
  6. Step 6: Final answer
    x = 408.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.