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Finding the Fourth Proportional to 361.17, 498.15 and 228.25

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Solution

The fourth proportional to 361.17, 498.15 and 228.25 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.17 : 498.15 = 228.25 : x
  2. Step 2: Convert to fraction form
    361.17/498.15 = 228.25/x
  3. Step 3: Cross multiply
    361.17x = 498.15 × 228.25
  4. Step 4: Simplify right side
    361.17x = 113,702.74
  5. Step 5: Solve for x
    x = 113,702.74/361.17
  6. Step 6: Final answer
    x = 314.82

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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.