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Finding the Fourth Proportional to 285.36, 428.17 and 155.35

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Solution

The fourth proportional to 285.36, 428.17 and 155.35 is: 233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.36 : 428.17 = 155.35 : x
  2. Step 2: Convert to fraction form
    285.36/428.17 = 155.35/x
  3. Step 3: Cross multiply
    285.36x = 428.17 × 155.35
  4. Step 4: Simplify right side
    285.36x = 66,516.21
  5. Step 5: Solve for x
    x = 66,516.21/285.36
  6. Step 6: Final answer
    x = 233.10

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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.