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Finding the Fourth Proportional to 191.14, 285.28 and 164.99

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Solution

The fourth proportional to 191.14, 285.28 and 164.99 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.14 : 285.28 = 164.99 : x
  2. Step 2: Convert to fraction form
    191.14/285.28 = 164.99/x
  3. Step 3: Cross multiply
    191.14x = 285.28 × 164.99
  4. Step 4: Simplify right side
    191.14x = 47,068.35
  5. Step 5: Solve for x
    x = 47,068.35/191.14
  6. Step 6: Final answer
    x = 246.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.