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Finding the Fourth Proportional to 515.65, 773.51 and 207.50

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Solution

The fourth proportional to 515.65, 773.51 and 207.50 is: 311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.65 : 773.51 = 207.50 : x
  2. Step 2: Convert to fraction form
    515.65/773.51 = 207.50/x
  3. Step 3: Cross multiply
    515.65x = 773.51 × 207.50
  4. Step 4: Simplify right side
    515.65x = 160,506.23
  5. Step 5: Solve for x
    x = 160,506.23/515.65
  6. Step 6: Final answer
    x = 311.27

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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.