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Finding the Fourth Proportional to 202.78, 304.13 and 56.49

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Solution

The fourth proportional to 202.78, 304.13 and 56.49 is: 84.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 304.13 = 56.49 : x
  2. Step 2: Convert to fraction form
    202.78/304.13 = 56.49/x
  3. Step 3: Cross multiply
    202.78x = 304.13 × 56.49
  4. Step 4: Simplify right side
    202.78x = 17,180.30
  5. Step 5: Solve for x
    x = 17,180.30/202.78
  6. Step 6: Final answer
    x = 84.72

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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.