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Finding the Fourth Proportional to 285.23, 428.07 and 148.31

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Solution

The fourth proportional to 285.23, 428.07 and 148.31 is: 222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.23 : 428.07 = 148.31 : x
  2. Step 2: Convert to fraction form
    285.23/428.07 = 148.31/x
  3. Step 3: Cross multiply
    285.23x = 428.07 × 148.31
  4. Step 4: Simplify right side
    285.23x = 63,485.97
  5. Step 5: Solve for x
    x = 63,485.97/285.23
  6. Step 6: Final answer
    x = 222.58

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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.