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Finding the Fourth Proportional to 187.10, 280.47 and 71.51

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Solution

The fourth proportional to 187.10, 280.47 and 71.51 is: 107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.10 : 280.47 = 71.51 : x
  2. Step 2: Convert to fraction form
    187.10/280.47 = 71.51/x
  3. Step 3: Cross multiply
    187.10x = 280.47 × 71.51
  4. Step 4: Simplify right side
    187.10x = 20,055.01
  5. Step 5: Solve for x
    x = 20,055.01/187.10
  6. Step 6: Final answer
    x = 107.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.