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Finding the Fourth Proportional to 228.71, 342.54 and 147.31

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Solution

The fourth proportional to 228.71, 342.54 and 147.31 is: 220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.71 : 342.54 = 147.31 : x
  2. Step 2: Convert to fraction form
    228.71/342.54 = 147.31/x
  3. Step 3: Cross multiply
    228.71x = 342.54 × 147.31
  4. Step 4: Simplify right side
    228.71x = 50,458.71
  5. Step 5: Solve for x
    x = 50,458.71/228.71
  6. Step 6: Final answer
    x = 220.62

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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.