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Finding the Fourth Proportional to 214.64, 320.35 and 197.54

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Solution

The fourth proportional to 214.64, 320.35 and 197.54 is: 294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 320.35 = 197.54 : x
  2. Step 2: Convert to fraction form
    214.64/320.35 = 197.54/x
  3. Step 3: Cross multiply
    214.64x = 320.35 × 197.54
  4. Step 4: Simplify right side
    214.64x = 63,281.94
  5. Step 5: Solve for x
    x = 63,281.94/214.64
  6. Step 6: Final answer
    x = 294.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.