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Finding the Fourth Proportional to 193.64, 267.58 and 156.98

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Solution

The fourth proportional to 193.64, 267.58 and 156.98 is: 216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 267.58 = 156.98 : x
  2. Step 2: Convert to fraction form
    193.64/267.58 = 156.98/x
  3. Step 3: Cross multiply
    193.64x = 267.58 × 156.98
  4. Step 4: Simplify right side
    193.64x = 42,004.98
  5. Step 5: Solve for x
    x = 42,004.98/193.64
  6. Step 6: Final answer
    x = 216.93

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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.