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Finding the Fourth Proportional to 286.04, 431.50 and 274.70

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Solution

The fourth proportional to 286.04, 431.50 and 274.70 is: 414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 431.50 = 274.70 : x
  2. Step 2: Convert to fraction form
    286.04/431.50 = 274.70/x
  3. Step 3: Cross multiply
    286.04x = 431.50 × 274.70
  4. Step 4: Simplify right side
    286.04x = 118,533.05
  5. Step 5: Solve for x
    x = 118,533.05/286.04
  6. Step 6: Final answer
    x = 414.39

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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.