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Finding the Fourth Proportional to 191.98, 288.12 and 70.28

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Solution

The fourth proportional to 191.98, 288.12 and 70.28 is: 105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.98 : 288.12 = 70.28 : x
  2. Step 2: Convert to fraction form
    191.98/288.12 = 70.28/x
  3. Step 3: Cross multiply
    191.98x = 288.12 × 70.28
  4. Step 4: Simplify right side
    191.98x = 20,248.98
  5. Step 5: Solve for x
    x = 20,248.98/191.98
  6. Step 6: Final answer
    x = 105.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.