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Finding the Fourth Proportional to 361.10, 539.01 and 345.32

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Solution

The fourth proportional to 361.10, 539.01 and 345.32 is: 515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.10 : 539.01 = 345.32 : x
  2. Step 2: Convert to fraction form
    361.10/539.01 = 345.32/x
  3. Step 3: Cross multiply
    361.10x = 539.01 × 345.32
  4. Step 4: Simplify right side
    361.10x = 186,130.93
  5. Step 5: Solve for x
    x = 186,130.93/361.10
  6. Step 6: Final answer
    x = 515.46

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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.