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Finding the Fourth Proportional to 191.15, 287.79 and 164.72

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Solution

The fourth proportional to 191.15, 287.79 and 164.72 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.15 : 287.79 = 164.72 : x
  2. Step 2: Convert to fraction form
    191.15/287.79 = 164.72/x
  3. Step 3: Cross multiply
    191.15x = 287.79 × 164.72
  4. Step 4: Simplify right side
    191.15x = 47,404.77
  5. Step 5: Solve for x
    x = 47,404.77/191.15
  6. Step 6: Final answer
    x = 248.00

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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.