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Finding the Fourth Proportional to 288.34, 434.10 and 197.62

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Solution

The fourth proportional to 288.34, 434.10 and 197.62 is: 297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.34 : 434.10 = 197.62 : x
  2. Step 2: Convert to fraction form
    288.34/434.10 = 197.62/x
  3. Step 3: Cross multiply
    288.34x = 434.10 × 197.62
  4. Step 4: Simplify right side
    288.34x = 85,786.84
  5. Step 5: Solve for x
    x = 85,786.84/288.34
  6. Step 6: Final answer
    x = 297.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.