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Finding the Fourth Proportional to 303.80, 456.21 and 188.51

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Solution

The fourth proportional to 303.80, 456.21 and 188.51 is: 283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.80 : 456.21 = 188.51 : x
  2. Step 2: Convert to fraction form
    303.80/456.21 = 188.51/x
  3. Step 3: Cross multiply
    303.80x = 456.21 × 188.51
  4. Step 4: Simplify right side
    303.80x = 85,997.87
  5. Step 5: Solve for x
    x = 85,997.87/303.80
  6. Step 6: Final answer
    x = 283.08

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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.