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Finding the Fourth Proportional to 361.41, 539.69 and 296.55

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Solution

The fourth proportional to 361.41, 539.69 and 296.55 is: 442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.41 : 539.69 = 296.55 : x
  2. Step 2: Convert to fraction form
    361.41/539.69 = 296.55/x
  3. Step 3: Cross multiply
    361.41x = 539.69 × 296.55
  4. Step 4: Simplify right side
    361.41x = 160,045.07
  5. Step 5: Solve for x
    x = 160,045.07/361.41
  6. Step 6: Final answer
    x = 442.84

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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.