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Finding the Fourth Proportional to 361.25, 541.87 and 87.35

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Solution

The fourth proportional to 361.25, 541.87 and 87.35 is: 131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.25 : 541.87 = 87.35 : x
  2. Step 2: Convert to fraction form
    361.25/541.87 = 87.35/x
  3. Step 3: Cross multiply
    361.25x = 541.87 × 87.35
  4. Step 4: Simplify right side
    361.25x = 47,329.91
  5. Step 5: Solve for x
    x = 47,329.91/361.25
  6. Step 6: Final answer
    x = 131.02

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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.