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Finding the Fourth Proportional to 285.78, 430.38 and 250.14

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Solution

The fourth proportional to 285.78, 430.38 and 250.14 is: 376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 430.38 = 250.14 : x
  2. Step 2: Convert to fraction form
    285.78/430.38 = 250.14/x
  3. Step 3: Cross multiply
    285.78x = 430.38 × 250.14
  4. Step 4: Simplify right side
    285.78x = 107,655.25
  5. Step 5: Solve for x
    x = 107,655.25/285.78
  6. Step 6: Final answer
    x = 376.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.