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Finding the Fourth Proportional to 283.35, 423.15 and 241.77

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Solution

The fourth proportional to 283.35, 423.15 and 241.77 is: 361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.35 : 423.15 = 241.77 : x
  2. Step 2: Convert to fraction form
    283.35/423.15 = 241.77/x
  3. Step 3: Cross multiply
    283.35x = 423.15 × 241.77
  4. Step 4: Simplify right side
    283.35x = 102,304.98
  5. Step 5: Solve for x
    x = 102,304.98/283.35
  6. Step 6: Final answer
    x = 361.06

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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.