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Finding the Fourth Proportional to 191.40, 265.94 and 189.51

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Solution

The fourth proportional to 191.40, 265.94 and 189.51 is: 263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.40 : 265.94 = 189.51 : x
  2. Step 2: Convert to fraction form
    191.40/265.94 = 189.51/x
  3. Step 3: Cross multiply
    191.40x = 265.94 × 189.51
  4. Step 4: Simplify right side
    191.40x = 50,397.34
  5. Step 5: Solve for x
    x = 50,397.34/191.40
  6. Step 6: Final answer
    x = 263.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.