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Finding the Fourth Proportional to 202.38, 305.06 and 184.16

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Solution

The fourth proportional to 202.38, 305.06 and 184.16 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.38 : 305.06 = 184.16 : x
  2. Step 2: Convert to fraction form
    202.38/305.06 = 184.16/x
  3. Step 3: Cross multiply
    202.38x = 305.06 × 184.16
  4. Step 4: Simplify right side
    202.38x = 56,177.40
  5. Step 5: Solve for x
    x = 56,177.40/202.38
  6. Step 6: Final answer
    x = 277.58

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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.