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Finding the Fourth Proportional to 361.05, 497.98 and 228.07

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Solution

The fourth proportional to 361.05, 497.98 and 228.07 is: 314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.05 : 497.98 = 228.07 : x
  2. Step 2: Convert to fraction form
    361.05/497.98 = 228.07/x
  3. Step 3: Cross multiply
    361.05x = 497.98 × 228.07
  4. Step 4: Simplify right side
    361.05x = 113,574.30
  5. Step 5: Solve for x
    x = 113,574.30/361.05
  6. Step 6: Final answer
    x = 314.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.