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Finding the Fourth Proportional to 296.60, 444.58 and 215.80

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Solution

The fourth proportional to 296.60, 444.58 and 215.80 is: 323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.60 : 444.58 = 215.80 : x
  2. Step 2: Convert to fraction form
    296.60/444.58 = 215.80/x
  3. Step 3: Cross multiply
    296.60x = 444.58 × 215.80
  4. Step 4: Simplify right side
    296.60x = 95,940.36
  5. Step 5: Solve for x
    x = 95,940.36/296.60
  6. Step 6: Final answer
    x = 323.47

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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.