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Finding the Fourth Proportional to 186.25, 278.30 and 142.08

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Solution

The fourth proportional to 186.25, 278.30 and 142.08 is: 212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.25 : 278.30 = 142.08 : x
  2. Step 2: Convert to fraction form
    186.25/278.30 = 142.08/x
  3. Step 3: Cross multiply
    186.25x = 278.30 × 142.08
  4. Step 4: Simplify right side
    186.25x = 39,541.22
  5. Step 5: Solve for x
    x = 39,541.22/186.25
  6. Step 6: Final answer
    x = 212.30

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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.