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Finding the Fourth Proportional to 238.10, 358.43 and 216.90

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Solution

The fourth proportional to 238.10, 358.43 and 216.90 is: 326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.10 : 358.43 = 216.90 : x
  2. Step 2: Convert to fraction form
    238.10/358.43 = 216.90/x
  3. Step 3: Cross multiply
    238.10x = 358.43 × 216.90
  4. Step 4: Simplify right side
    238.10x = 77,742.38
  5. Step 5: Solve for x
    x = 77,742.38/238.10
  6. Step 6: Final answer
    x = 326.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.