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Finding the Fourth Proportional to 238.66, 358.19 and 146.22

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Solution

The fourth proportional to 238.66, 358.19 and 146.22 is: 219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.66 : 358.19 = 146.22 : x
  2. Step 2: Convert to fraction form
    238.66/358.19 = 146.22/x
  3. Step 3: Cross multiply
    238.66x = 358.19 × 146.22
  4. Step 4: Simplify right side
    238.66x = 52,373.02
  5. Step 5: Solve for x
    x = 52,373.02/238.66
  6. Step 6: Final answer
    x = 219.45

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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.