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Finding the Fourth Proportional to 270.59, 404.43 and 242.06

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Solution

The fourth proportional to 270.59, 404.43 and 242.06 is: 361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.59 : 404.43 = 242.06 : x
  2. Step 2: Convert to fraction form
    270.59/404.43 = 242.06/x
  3. Step 3: Cross multiply
    270.59x = 404.43 × 242.06
  4. Step 4: Simplify right side
    270.59x = 97,895.12
  5. Step 5: Solve for x
    x = 97,895.12/270.59
  6. Step 6: Final answer
    x = 361.78

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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.