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Finding the Fourth Proportional to 186.34, 256.99 and 146.95

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Solution

The fourth proportional to 186.34, 256.99 and 146.95 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 256.99 = 146.95 : x
  2. Step 2: Convert to fraction form
    186.34/256.99 = 146.95/x
  3. Step 3: Cross multiply
    186.34x = 256.99 × 146.95
  4. Step 4: Simplify right side
    186.34x = 37,764.68
  5. Step 5: Solve for x
    x = 37,764.68/186.34
  6. Step 6: Final answer
    x = 202.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.