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Finding the Fourth Proportional to 238.00, 358.75 and 218.25

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Solution

The fourth proportional to 238.00, 358.75 and 218.25 is: 328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.00 : 358.75 = 218.25 : x
  2. Step 2: Convert to fraction form
    238.00/358.75 = 218.25/x
  3. Step 3: Cross multiply
    238.00x = 358.75 × 218.25
  4. Step 4: Simplify right side
    238.00x = 78,297.19
  5. Step 5: Solve for x
    x = 78,297.19/238.00
  6. Step 6: Final answer
    x = 328.98

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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.