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Finding the Fourth Proportional to 186.98, 256.58 and 170.48

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Solution

The fourth proportional to 186.98, 256.58 and 170.48 is: 233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 256.58 = 170.48 : x
  2. Step 2: Convert to fraction form
    186.98/256.58 = 170.48/x
  3. Step 3: Cross multiply
    186.98x = 256.58 × 170.48
  4. Step 4: Simplify right side
    186.98x = 43,741.76
  5. Step 5: Solve for x
    x = 43,741.76/186.98
  6. Step 6: Final answer
    x = 233.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.