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Finding the Fourth Proportional to 285.22, 430.20 and 251.40

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Solution

The fourth proportional to 285.22, 430.20 and 251.40 is: 379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.22 : 430.20 = 251.40 : x
  2. Step 2: Convert to fraction form
    285.22/430.20 = 251.40/x
  3. Step 3: Cross multiply
    285.22x = 430.20 × 251.40
  4. Step 4: Simplify right side
    285.22x = 108,151.02
  5. Step 5: Solve for x
    x = 108,151.02/285.22
  6. Step 6: Final answer
    x = 379.19

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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.