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Finding the Fourth Proportional to 287.11, 430.21 and 276.43

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Solution

The fourth proportional to 287.11, 430.21 and 276.43 is: 414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.11 : 430.21 = 276.43 : x
  2. Step 2: Convert to fraction form
    287.11/430.21 = 276.43/x
  3. Step 3: Cross multiply
    287.11x = 430.21 × 276.43
  4. Step 4: Simplify right side
    287.11x = 118,922.95
  5. Step 5: Solve for x
    x = 118,922.95/287.11
  6. Step 6: Final answer
    x = 414.21

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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.