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Finding the Fourth Proportional to 305.76, 452.28 and 305.76

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Solution

The fourth proportional to 305.76, 452.28 and 305.76 is: 452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 452.28 = 305.76 : x
  2. Step 2: Convert to fraction form
    305.76/452.28 = 305.76/x
  3. Step 3: Cross multiply
    305.76x = 452.28 × 305.76
  4. Step 4: Simplify right side
    305.76x = 138,289.13
  5. Step 5: Solve for x
    x = 138,289.13/305.76
  6. Step 6: Final answer
    x = 452.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.