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Finding the Fourth Proportional to 285.78, 428.12 and 148.62

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Solution

The fourth proportional to 285.78, 428.12 and 148.62 is: 222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 428.12 = 148.62 : x
  2. Step 2: Convert to fraction form
    285.78/428.12 = 148.62/x
  3. Step 3: Cross multiply
    285.78x = 428.12 × 148.62
  4. Step 4: Simplify right side
    285.78x = 63,627.19
  5. Step 5: Solve for x
    x = 63,627.19/285.78
  6. Step 6: Final answer
    x = 222.64

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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.