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Finding the Fourth Proportional to 228.48, 314.55 and 197.79

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Solution

The fourth proportional to 228.48, 314.55 and 197.79 is: 272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.48 : 314.55 = 197.79 : x
  2. Step 2: Convert to fraction form
    228.48/314.55 = 197.79/x
  3. Step 3: Cross multiply
    228.48x = 314.55 × 197.79
  4. Step 4: Simplify right side
    228.48x = 62,214.84
  5. Step 5: Solve for x
    x = 62,214.84/228.48
  6. Step 6: Final answer
    x = 272.30

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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.