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Finding the Fourth Proportional to 228.20, 314.15 and 197.01

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Solution

The fourth proportional to 228.20, 314.15 and 197.01 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 314.15 = 197.01 : x
  2. Step 2: Convert to fraction form
    228.20/314.15 = 197.01/x
  3. Step 3: Cross multiply
    228.20x = 314.15 × 197.01
  4. Step 4: Simplify right side
    228.20x = 61,889.71
  5. Step 5: Solve for x
    x = 61,889.71/228.20
  6. Step 6: Final answer
    x = 271.21

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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.