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Finding the Fourth Proportional to 238.47, 358.98 and 216.15

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Solution

The fourth proportional to 238.47, 358.98 and 216.15 is: 325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.47 : 358.98 = 216.15 : x
  2. Step 2: Convert to fraction form
    238.47/358.98 = 216.15/x
  3. Step 3: Cross multiply
    238.47x = 358.98 × 216.15
  4. Step 4: Simplify right side
    238.47x = 77,593.53
  5. Step 5: Solve for x
    x = 77,593.53/238.47
  6. Step 6: Final answer
    x = 325.38

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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.