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Finding the Fourth Proportional to 303.74, 457.71 and 274.86

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Solution

The fourth proportional to 303.74, 457.71 and 274.86 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.74 : 457.71 = 274.86 : x
  2. Step 2: Convert to fraction form
    303.74/457.71 = 274.86/x
  3. Step 3: Cross multiply
    303.74x = 457.71 × 274.86
  4. Step 4: Simplify right side
    303.74x = 125,806.17
  5. Step 5: Solve for x
    x = 125,806.17/303.74
  6. Step 6: Final answer
    x = 414.19

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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.