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Finding the Fourth Proportional to 228.28, 314.84 and 149.51

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Solution

The fourth proportional to 228.28, 314.84 and 149.51 is: 206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.28 : 314.84 = 149.51 : x
  2. Step 2: Convert to fraction form
    228.28/314.84 = 149.51/x
  3. Step 3: Cross multiply
    228.28x = 314.84 × 149.51
  4. Step 4: Simplify right side
    228.28x = 47,070.15
  5. Step 5: Solve for x
    x = 47,070.15/228.28
  6. Step 6: Final answer
    x = 206.20

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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.