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Finding the Fourth Proportional to 285.72, 430.94 and 251.91

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Solution

The fourth proportional to 285.72, 430.94 and 251.91 is: 379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.72 : 430.94 = 251.91 : x
  2. Step 2: Convert to fraction form
    285.72/430.94 = 251.91/x
  3. Step 3: Cross multiply
    285.72x = 430.94 × 251.91
  4. Step 4: Simplify right side
    285.72x = 108,558.10
  5. Step 5: Solve for x
    x = 108,558.10/285.72
  6. Step 6: Final answer
    x = 379.95

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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.