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Finding the Fourth Proportional to 193.40, 265.16 and 189.93

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Solution

The fourth proportional to 193.40, 265.16 and 189.93 is: 260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 265.16 = 189.93 : x
  2. Step 2: Convert to fraction form
    193.40/265.16 = 189.93/x
  3. Step 3: Cross multiply
    193.40x = 265.16 × 189.93
  4. Step 4: Simplify right side
    193.40x = 50,360.89
  5. Step 5: Solve for x
    x = 50,360.89/193.40
  6. Step 6: Final answer
    x = 260.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.