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Finding the Fourth Proportional to 368.42, 552.13 and 221.99

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Solution

The fourth proportional to 368.42, 552.13 and 221.99 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.42 : 552.13 = 221.99 : x
  2. Step 2: Convert to fraction form
    368.42/552.13 = 221.99/x
  3. Step 3: Cross multiply
    368.42x = 552.13 × 221.99
  4. Step 4: Simplify right side
    368.42x = 122,564.02
  5. Step 5: Solve for x
    x = 122,564.02/368.42
  6. Step 6: Final answer
    x = 332.68

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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.