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Finding the Fourth Proportional to 300.16, 452.92 and 288.91

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Solution

The fourth proportional to 300.16, 452.92 and 288.91 is: 435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 452.92 = 288.91 : x
  2. Step 2: Convert to fraction form
    300.16/452.92 = 288.91/x
  3. Step 3: Cross multiply
    300.16x = 452.92 × 288.91
  4. Step 4: Simplify right side
    300.16x = 130,853.12
  5. Step 5: Solve for x
    x = 130,853.12/300.16
  6. Step 6: Final answer
    x = 435.94

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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.