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Finding the Fourth Proportional to 228.57, 340.95 and 203.19

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Solution

The fourth proportional to 228.57, 340.95 and 203.19 is: 303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.57 : 340.95 = 203.19 : x
  2. Step 2: Convert to fraction form
    228.57/340.95 = 203.19/x
  3. Step 3: Cross multiply
    228.57x = 340.95 × 203.19
  4. Step 4: Simplify right side
    228.57x = 69,277.63
  5. Step 5: Solve for x
    x = 69,277.63/228.57
  6. Step 6: Final answer
    x = 303.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.