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Finding the Fourth Proportional to 285.70, 428.53 and 114.70

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Solution

The fourth proportional to 285.70, 428.53 and 114.70 is: 172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.70 : 428.53 = 114.70 : x
  2. Step 2: Convert to fraction form
    285.70/428.53 = 114.70/x
  3. Step 3: Cross multiply
    285.70x = 428.53 × 114.70
  4. Step 4: Simplify right side
    285.70x = 49,152.39
  5. Step 5: Solve for x
    x = 49,152.39/285.70
  6. Step 6: Final answer
    x = 172.04

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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.