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Finding the Fourth Proportional to 515.10, 772.51 and 202.81

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Solution

The fourth proportional to 515.10, 772.51 and 202.81 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.10 : 772.51 = 202.81 : x
  2. Step 2: Convert to fraction form
    515.10/772.51 = 202.81/x
  3. Step 3: Cross multiply
    515.10x = 772.51 × 202.81
  4. Step 4: Simplify right side
    515.10x = 156,672.75
  5. Step 5: Solve for x
    x = 156,672.75/515.10
  6. Step 6: Final answer
    x = 304.16

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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.