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Finding the Fourth Proportional to 237.78, 354.74 and 220.50

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Solution

The fourth proportional to 237.78, 354.74 and 220.50 is: 328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 354.74 = 220.50 : x
  2. Step 2: Convert to fraction form
    237.78/354.74 = 220.50/x
  3. Step 3: Cross multiply
    237.78x = 354.74 × 220.50
  4. Step 4: Simplify right side
    237.78x = 78,219.07
  5. Step 5: Solve for x
    x = 78,219.07/237.78
  6. Step 6: Final answer
    x = 328.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.