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Finding the Fourth Proportional to 187.63, 279.32 and 185.07

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Solution

The fourth proportional to 187.63, 279.32 and 185.07 is: 275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.63 : 279.32 = 185.07 : x
  2. Step 2: Convert to fraction form
    187.63/279.32 = 185.07/x
  3. Step 3: Cross multiply
    187.63x = 279.32 × 185.07
  4. Step 4: Simplify right side
    187.63x = 51,693.75
  5. Step 5: Solve for x
    x = 51,693.75/187.63
  6. Step 6: Final answer
    x = 275.51

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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.