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Finding the Fourth Proportional to 310.49, 465.37 and 228.57

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Solution

The fourth proportional to 310.49, 465.37 and 228.57 is: 342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.49 : 465.37 = 228.57 : x
  2. Step 2: Convert to fraction form
    310.49/465.37 = 228.57/x
  3. Step 3: Cross multiply
    310.49x = 465.37 × 228.57
  4. Step 4: Simplify right side
    310.49x = 106,366.15
  5. Step 5: Solve for x
    x = 106,366.15/310.49
  6. Step 6: Final answer
    x = 342.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.