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Finding the Fourth Proportional to 228.16, 314.56 and 162.56

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Solution

The fourth proportional to 228.16, 314.56 and 162.56 is: 224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 314.56 = 162.56 : x
  2. Step 2: Convert to fraction form
    228.16/314.56 = 162.56/x
  3. Step 3: Cross multiply
    228.16x = 314.56 × 162.56
  4. Step 4: Simplify right side
    228.16x = 51,134.87
  5. Step 5: Solve for x
    x = 51,134.87/228.16
  6. Step 6: Final answer
    x = 224.12

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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.