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Finding the Fourth Proportional to 519.04, 778.16 and 210.72

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Solution

The fourth proportional to 519.04, 778.16 and 210.72 is: 315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.04 : 778.16 = 210.72 : x
  2. Step 2: Convert to fraction form
    519.04/778.16 = 210.72/x
  3. Step 3: Cross multiply
    519.04x = 778.16 × 210.72
  4. Step 4: Simplify right side
    519.04x = 163,973.88
  5. Step 5: Solve for x
    x = 163,973.88/519.04
  6. Step 6: Final answer
    x = 315.92

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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.