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Finding the Fourth Proportional to 201.51, 303.37 and 184.77

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Solution

The fourth proportional to 201.51, 303.37 and 184.77 is: 278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.51 : 303.37 = 184.77 : x
  2. Step 2: Convert to fraction form
    201.51/303.37 = 184.77/x
  3. Step 3: Cross multiply
    201.51x = 303.37 × 184.77
  4. Step 4: Simplify right side
    201.51x = 56,053.67
  5. Step 5: Solve for x
    x = 56,053.67/201.51
  6. Step 6: Final answer
    x = 278.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.