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Finding the Fourth Proportional to 547.14, 755.20 and 370.02

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Solution

The fourth proportional to 547.14, 755.20 and 370.02 is: 510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.14 : 755.20 = 370.02 : x
  2. Step 2: Convert to fraction form
    547.14/755.20 = 370.02/x
  3. Step 3: Cross multiply
    547.14x = 755.20 × 370.02
  4. Step 4: Simplify right side
    547.14x = 279,439.10
  5. Step 5: Solve for x
    x = 279,439.10/547.14
  6. Step 6: Final answer
    x = 510.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.