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Finding the Fourth Proportional to 265.62, 397.67 and 197.45

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Solution

The fourth proportional to 265.62, 397.67 and 197.45 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.62 : 397.67 = 197.45 : x
  2. Step 2: Convert to fraction form
    265.62/397.67 = 197.45/x
  3. Step 3: Cross multiply
    265.62x = 397.67 × 197.45
  4. Step 4: Simplify right side
    265.62x = 78,518.46
  5. Step 5: Solve for x
    x = 78,518.46/265.62
  6. Step 6: Final answer
    x = 295.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.