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Finding the Fourth Proportional to 193.16, 291.35 and 193.16

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Solution

The fourth proportional to 193.16, 291.35 and 193.16 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.16 : 291.35 = 193.16 : x
  2. Step 2: Convert to fraction form
    193.16/291.35 = 193.16/x
  3. Step 3: Cross multiply
    193.16x = 291.35 × 193.16
  4. Step 4: Simplify right side
    193.16x = 56,278.38
  5. Step 5: Solve for x
    x = 56,278.38/193.16
  6. Step 6: Final answer
    x = 291.35

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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.