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Finding the Fourth Proportional to 285.26, 428.08 and 220.02

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Solution

The fourth proportional to 285.26, 428.08 and 220.02 is: 330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 428.08 = 220.02 : x
  2. Step 2: Convert to fraction form
    285.26/428.08 = 220.02/x
  3. Step 3: Cross multiply
    285.26x = 428.08 × 220.02
  4. Step 4: Simplify right side
    285.26x = 94,186.16
  5. Step 5: Solve for x
    x = 94,186.16/285.26
  6. Step 6: Final answer
    x = 330.18

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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.