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Finding the Fourth Proportional to 228.20, 314.80 and 145.35

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Solution

The fourth proportional to 228.20, 314.80 and 145.35 is: 200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 314.80 = 145.35 : x
  2. Step 2: Convert to fraction form
    228.20/314.80 = 145.35/x
  3. Step 3: Cross multiply
    228.20x = 314.80 × 145.35
  4. Step 4: Simplify right side
    228.20x = 45,755.82
  5. Step 5: Solve for x
    x = 45,755.82/228.20
  6. Step 6: Final answer
    x = 200.51

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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.