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Finding the Fourth Proportional to 303.54, 452.56 and 275.89

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Solution

The fourth proportional to 303.54, 452.56 and 275.89 is: 411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.54 : 452.56 = 275.89 : x
  2. Step 2: Convert to fraction form
    303.54/452.56 = 275.89/x
  3. Step 3: Cross multiply
    303.54x = 452.56 × 275.89
  4. Step 4: Simplify right side
    303.54x = 124,856.78
  5. Step 5: Solve for x
    x = 124,856.78/303.54
  6. Step 6: Final answer
    x = 411.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.