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Finding the Fourth Proportional to 305.28, 455.76 and 293.76

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Solution

The fourth proportional to 305.28, 455.76 and 293.76 is: 438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 455.76 = 293.76 : x
  2. Step 2: Convert to fraction form
    305.28/455.76 = 293.76/x
  3. Step 3: Cross multiply
    305.28x = 455.76 × 293.76
  4. Step 4: Simplify right side
    305.28x = 133,884.06
  5. Step 5: Solve for x
    x = 133,884.06/305.28
  6. Step 6: Final answer
    x = 438.56

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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.