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Finding the Fourth Proportional to 513.20, 708.20 and 292.16

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Solution

The fourth proportional to 513.20, 708.20 and 292.16 is: 403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 708.20 = 292.16 : x
  2. Step 2: Convert to fraction form
    513.20/708.20 = 292.16/x
  3. Step 3: Cross multiply
    513.20x = 708.20 × 292.16
  4. Step 4: Simplify right side
    513.20x = 206,907.71
  5. Step 5: Solve for x
    x = 206,907.71/513.20
  6. Step 6: Final answer
    x = 403.17

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1.5x scale

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.