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Finding the Fourth Proportional to 228.49, 314.92 and 162.10

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Solution

The fourth proportional to 228.49, 314.92 and 162.10 is: 223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.49 : 314.92 = 162.10 : x
  2. Step 2: Convert to fraction form
    228.49/314.92 = 162.10/x
  3. Step 3: Cross multiply
    228.49x = 314.92 × 162.10
  4. Step 4: Simplify right side
    228.49x = 51,049.13
  5. Step 5: Solve for x
    x = 51,049.13/228.49
  6. Step 6: Final answer
    x = 223.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.