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Finding the Fourth Proportional to 368.89, 508.78 and 221.37

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Solution

The fourth proportional to 368.89, 508.78 and 221.37 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.89 : 508.78 = 221.37 : x
  2. Step 2: Convert to fraction form
    368.89/508.78 = 221.37/x
  3. Step 3: Cross multiply
    368.89x = 508.78 × 221.37
  4. Step 4: Simplify right side
    368.89x = 112,627.00
  5. Step 5: Solve for x
    x = 112,627.00/368.89
  6. Step 6: Final answer
    x = 305.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.