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Finding the Fourth Proportional to 303.76, 457.75 and 274.96

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Solution

The fourth proportional to 303.76, 457.75 and 274.96 is: 414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.76 : 457.75 = 274.96 : x
  2. Step 2: Convert to fraction form
    303.76/457.75 = 274.96/x
  3. Step 3: Cross multiply
    303.76x = 457.75 × 274.96
  4. Step 4: Simplify right side
    303.76x = 125,862.94
  5. Step 5: Solve for x
    x = 125,862.94/303.76
  6. Step 6: Final answer
    x = 414.35

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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.