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Finding the Fourth Proportional to 229.58, 343.99 and 148.35

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Solution

The fourth proportional to 229.58, 343.99 and 148.35 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.58 : 343.99 = 148.35 : x
  2. Step 2: Convert to fraction form
    229.58/343.99 = 148.35/x
  3. Step 3: Cross multiply
    229.58x = 343.99 × 148.35
  4. Step 4: Simplify right side
    229.58x = 51,030.92
  5. Step 5: Solve for x
    x = 51,030.92/229.58
  6. Step 6: Final answer
    x = 222.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.