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Finding the Fourth Proportional to 286.19, 431.85 and 276.02

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Solution

The fourth proportional to 286.19, 431.85 and 276.02 is: 416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.19 : 431.85 = 276.02 : x
  2. Step 2: Convert to fraction form
    286.19/431.85 = 276.02/x
  3. Step 3: Cross multiply
    286.19x = 431.85 × 276.02
  4. Step 4: Simplify right side
    286.19x = 119,199.24
  5. Step 5: Solve for x
    x = 119,199.24/286.19
  6. Step 6: Final answer
    x = 416.50

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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.