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Finding the Fourth Proportional to 296.46, 445.23 and 258.21

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Solution

The fourth proportional to 296.46, 445.23 and 258.21 is: 387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 445.23 = 258.21 : x
  2. Step 2: Convert to fraction form
    296.46/445.23 = 258.21/x
  3. Step 3: Cross multiply
    296.46x = 445.23 × 258.21
  4. Step 4: Simplify right side
    296.46x = 114,962.84
  5. Step 5: Solve for x
    x = 114,962.84/296.46
  6. Step 6: Final answer
    x = 387.79

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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.