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Finding the Fourth Proportional to 310.53, 428.67 and 228.27

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Solution

The fourth proportional to 310.53, 428.67 and 228.27 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.53 : 428.67 = 228.27 : x
  2. Step 2: Convert to fraction form
    310.53/428.67 = 228.27/x
  3. Step 3: Cross multiply
    310.53x = 428.67 × 228.27
  4. Step 4: Simplify right side
    310.53x = 97,852.50
  5. Step 5: Solve for x
    x = 97,852.50/310.53
  6. Step 6: Final answer
    x = 315.11

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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.