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Finding the Fourth Proportional to 300.24, 452.88 and 290.52

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Solution

The fourth proportional to 300.24, 452.88 and 290.52 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 452.88 = 290.52 : x
  2. Step 2: Convert to fraction form
    300.24/452.88 = 290.52/x
  3. Step 3: Cross multiply
    300.24x = 452.88 × 290.52
  4. Step 4: Simplify right side
    300.24x = 131,570.70
  5. Step 5: Solve for x
    x = 131,570.70/300.24
  6. Step 6: Final answer
    x = 438.22

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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.