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Finding the Fourth Proportional to 300.10, 452.05 and 281.88

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Solution

The fourth proportional to 300.10, 452.05 and 281.88 is: 424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 452.05 = 281.88 : x
  2. Step 2: Convert to fraction form
    300.10/452.05 = 281.88/x
  3. Step 3: Cross multiply
    300.10x = 452.05 × 281.88
  4. Step 4: Simplify right side
    300.10x = 127,423.85
  5. Step 5: Solve for x
    x = 127,423.85/300.10
  6. Step 6: Final answer
    x = 424.60

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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.