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Finding the Fourth Proportional to 303.61, 452.80 and 274.45

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Solution

The fourth proportional to 303.61, 452.80 and 274.45 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.61 : 452.80 = 274.45 : x
  2. Step 2: Convert to fraction form
    303.61/452.80 = 274.45/x
  3. Step 3: Cross multiply
    303.61x = 452.80 × 274.45
  4. Step 4: Simplify right side
    303.61x = 124,270.96
  5. Step 5: Solve for x
    x = 124,270.96/303.61
  6. Step 6: Final answer
    x = 409.31

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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.