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Finding the Fourth Proportional to 228.16, 314.80 and 154.45

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Solution

The fourth proportional to 228.16, 314.80 and 154.45 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 314.80 = 154.45 : x
  2. Step 2: Convert to fraction form
    228.16/314.80 = 154.45/x
  3. Step 3: Cross multiply
    228.16x = 314.80 × 154.45
  4. Step 4: Simplify right side
    228.16x = 48,620.86
  5. Step 5: Solve for x
    x = 48,620.86/228.16
  6. Step 6: Final answer
    x = 213.10

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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.