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Finding the Fourth Proportional to 242.59, 361.88 and 226.02

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Solution

The fourth proportional to 242.59, 361.88 and 226.02 is: 337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.59 : 361.88 = 226.02 : x
  2. Step 2: Convert to fraction form
    242.59/361.88 = 226.02/x
  3. Step 3: Cross multiply
    242.59x = 361.88 × 226.02
  4. Step 4: Simplify right side
    242.59x = 81,792.12
  5. Step 5: Solve for x
    x = 81,792.12/242.59
  6. Step 6: Final answer
    x = 337.16

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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.