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Finding the Fourth Proportional to 197.47, 297.27 and 177.63

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Solution

The fourth proportional to 197.47, 297.27 and 177.63 is: 267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.47 : 297.27 = 177.63 : x
  2. Step 2: Convert to fraction form
    197.47/297.27 = 177.63/x
  3. Step 3: Cross multiply
    197.47x = 297.27 × 177.63
  4. Step 4: Simplify right side
    197.47x = 52,803.03
  5. Step 5: Solve for x
    x = 52,803.03/197.47
  6. Step 6: Final answer
    x = 267.40

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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.