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Finding the Fourth Proportional to 368.42, 553.54 and 238.68

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Solution

The fourth proportional to 368.42, 553.54 and 238.68 is: 358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.42 : 553.54 = 238.68 : x
  2. Step 2: Convert to fraction form
    368.42/553.54 = 238.68/x
  3. Step 3: Cross multiply
    368.42x = 553.54 × 238.68
  4. Step 4: Simplify right side
    368.42x = 132,118.93
  5. Step 5: Solve for x
    x = 132,118.93/368.42
  6. Step 6: Final answer
    x = 358.61

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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.