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Finding the Fourth Proportional to 228.93, 313.88 and 224.82

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Solution

The fourth proportional to 228.93, 313.88 and 224.82 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.93 : 313.88 = 224.82 : x
  2. Step 2: Convert to fraction form
    228.93/313.88 = 224.82/x
  3. Step 3: Cross multiply
    228.93x = 313.88 × 224.82
  4. Step 4: Simplify right side
    228.93x = 70,566.50
  5. Step 5: Solve for x
    x = 70,566.50/228.93
  6. Step 6: Final answer
    x = 308.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.