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Finding the Fourth Proportional to 228.66, 342.54 and 163.50

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Solution

The fourth proportional to 228.66, 342.54 and 163.50 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.66 : 342.54 = 163.50 : x
  2. Step 2: Convert to fraction form
    228.66/342.54 = 163.50/x
  3. Step 3: Cross multiply
    228.66x = 342.54 × 163.50
  4. Step 4: Simplify right side
    228.66x = 56,005.29
  5. Step 5: Solve for x
    x = 56,005.29/228.66
  6. Step 6: Final answer
    x = 244.93

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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.