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Finding the Fourth Proportional to 238.21, 354.51 and 229.57

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Solution

The fourth proportional to 238.21, 354.51 and 229.57 is: 341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.21 : 354.51 = 229.57 : x
  2. Step 2: Convert to fraction form
    238.21/354.51 = 229.57/x
  3. Step 3: Cross multiply
    238.21x = 354.51 × 229.57
  4. Step 4: Simplify right side
    238.21x = 81,384.86
  5. Step 5: Solve for x
    x = 81,384.86/238.21
  6. Step 6: Final answer
    x = 341.65

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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.