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Finding the Fourth Proportional to 296.70, 445.68 and 286.98

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Solution

The fourth proportional to 296.70, 445.68 and 286.98 is: 431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 445.68 = 286.98 : x
  2. Step 2: Convert to fraction form
    296.70/445.68 = 286.98/x
  3. Step 3: Cross multiply
    296.70x = 445.68 × 286.98
  4. Step 4: Simplify right side
    296.70x = 127,901.25
  5. Step 5: Solve for x
    x = 127,901.25/296.70
  6. Step 6: Final answer
    x = 431.08

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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.