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Finding the Fourth Proportional to 228.71, 342.59 and 170.25

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Solution

The fourth proportional to 228.71, 342.59 and 170.25 is: 255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.71 : 342.59 = 170.25 : x
  2. Step 2: Convert to fraction form
    228.71/342.59 = 170.25/x
  3. Step 3: Cross multiply
    228.71x = 342.59 × 170.25
  4. Step 4: Simplify right side
    228.71x = 58,325.10
  5. Step 5: Solve for x
    x = 58,325.10/228.71
  6. Step 6: Final answer
    x = 255.02

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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.