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Finding the Fourth Proportional to 186.02, 256.74 and 107.35

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Solution

The fourth proportional to 186.02, 256.74 and 107.35 is: 148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.02 : 256.74 = 107.35 : x
  2. Step 2: Convert to fraction form
    186.02/256.74 = 107.35/x
  3. Step 3: Cross multiply
    186.02x = 256.74 × 107.35
  4. Step 4: Simplify right side
    186.02x = 27,561.44
  5. Step 5: Solve for x
    x = 27,561.44/186.02
  6. Step 6: Final answer
    x = 148.16

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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.