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Finding the Fourth Proportional to 303.62, 453.14 and 274.46

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Solution

The fourth proportional to 303.62, 453.14 and 274.46 is: 409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.62 : 453.14 = 274.46 : x
  2. Step 2: Convert to fraction form
    303.62/453.14 = 274.46/x
  3. Step 3: Cross multiply
    303.62x = 453.14 × 274.46
  4. Step 4: Simplify right side
    303.62x = 124,368.80
  5. Step 5: Solve for x
    x = 124,368.80/303.62
  6. Step 6: Final answer
    x = 409.62

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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.