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Finding the Fourth Proportional to 515.55, 773.46 and 207.41

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Solution

The fourth proportional to 515.55, 773.46 and 207.41 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.55 : 773.46 = 207.41 : x
  2. Step 2: Convert to fraction form
    515.55/773.46 = 207.41/x
  3. Step 3: Cross multiply
    515.55x = 773.46 × 207.41
  4. Step 4: Simplify right side
    515.55x = 160,423.34
  5. Step 5: Solve for x
    x = 160,423.34/515.55
  6. Step 6: Final answer
    x = 311.17

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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.