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Finding the Fourth Proportional to 296.42, 444.64 and 104.04

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Solution

The fourth proportional to 296.42, 444.64 and 104.04 is: 156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.42 : 444.64 = 104.04 : x
  2. Step 2: Convert to fraction form
    296.42/444.64 = 104.04/x
  3. Step 3: Cross multiply
    296.42x = 444.64 × 104.04
  4. Step 4: Simplify right side
    296.42x = 46,260.35
  5. Step 5: Solve for x
    x = 46,260.35/296.42
  6. Step 6: Final answer
    x = 156.06

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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.