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Finding the Fourth Proportional to 186.10, 278.98 and 70.54

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Solution

The fourth proportional to 186.10, 278.98 and 70.54 is: 105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 278.98 = 70.54 : x
  2. Step 2: Convert to fraction form
    186.10/278.98 = 70.54/x
  3. Step 3: Cross multiply
    186.10x = 278.98 × 70.54
  4. Step 4: Simplify right side
    186.10x = 19,679.25
  5. Step 5: Solve for x
    x = 19,679.25/186.10
  6. Step 6: Final answer
    x = 105.75

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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.