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Finding the Fourth Proportional to 361.61, 498.85 and 228.77

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Solution

The fourth proportional to 361.61, 498.85 and 228.77 is: 315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.61 : 498.85 = 228.77 : x
  2. Step 2: Convert to fraction form
    361.61/498.85 = 228.77/x
  3. Step 3: Cross multiply
    361.61x = 498.85 × 228.77
  4. Step 4: Simplify right side
    361.61x = 114,118.85
  5. Step 5: Solve for x
    x = 114,118.85/361.61
  6. Step 6: Final answer
    x = 315.59

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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.