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Finding the Fourth Proportional to 361.35, 539.55 and 312.75

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Solution

The fourth proportional to 361.35, 539.55 and 312.75 is: 466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.35 : 539.55 = 312.75 : x
  2. Step 2: Convert to fraction form
    361.35/539.55 = 312.75/x
  3. Step 3: Cross multiply
    361.35x = 539.55 × 312.75
  4. Step 4: Simplify right side
    361.35x = 168,744.26
  5. Step 5: Solve for x
    x = 168,744.26/361.35
  6. Step 6: Final answer
    x = 466.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.