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Finding the Fourth Proportional to 303.46, 452.96 and 277.81

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Solution

The fourth proportional to 303.46, 452.96 and 277.81 is: 414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.46 : 452.96 = 277.81 : x
  2. Step 2: Convert to fraction form
    303.46/452.96 = 277.81/x
  3. Step 3: Cross multiply
    303.46x = 452.96 × 277.81
  4. Step 4: Simplify right side
    303.46x = 125,836.82
  5. Step 5: Solve for x
    x = 125,836.82/303.46
  6. Step 6: Final answer
    x = 414.67

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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.