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Finding the Fourth Proportional to 228.16, 340.51 and 206.29

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Solution

The fourth proportional to 228.16, 340.51 and 206.29 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 340.51 = 206.29 : x
  2. Step 2: Convert to fraction form
    228.16/340.51 = 206.29/x
  3. Step 3: Cross multiply
    228.16x = 340.51 × 206.29
  4. Step 4: Simplify right side
    228.16x = 70,243.81
  5. Step 5: Solve for x
    x = 70,243.81/228.16
  6. Step 6: Final answer
    x = 307.87

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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.