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Finding the Fourth Proportional to 228.71, 341.74 and 172.75

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Solution

The fourth proportional to 228.71, 341.74 and 172.75 is: 258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.71 : 341.74 = 172.75 : x
  2. Step 2: Convert to fraction form
    228.71/341.74 = 172.75/x
  3. Step 3: Cross multiply
    228.71x = 341.74 × 172.75
  4. Step 4: Simplify right side
    228.71x = 59,033.88
  5. Step 5: Solve for x
    x = 59,033.88/228.71
  6. Step 6: Final answer
    x = 258.12

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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.