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Finding the Fourth Proportional to 515.15, 772.35 and 241.10

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Solution

The fourth proportional to 515.15, 772.35 and 241.10 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.15 : 772.35 = 241.10 : x
  2. Step 2: Convert to fraction form
    515.15/772.35 = 241.10/x
  3. Step 3: Cross multiply
    515.15x = 772.35 × 241.10
  4. Step 4: Simplify right side
    515.15x = 186,209.72
  5. Step 5: Solve for x
    x = 186,209.72/515.15
  6. Step 6: Final answer
    x = 361.47

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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.