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Finding the Fourth Proportional to 334.20, 455.28 and 334.20

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Solution

The fourth proportional to 334.20, 455.28 and 334.20 is: 455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.20 : 455.28 = 334.20 : x
  2. Step 2: Convert to fraction form
    334.20/455.28 = 334.20/x
  3. Step 3: Cross multiply
    334.20x = 455.28 × 334.20
  4. Step 4: Simplify right side
    334.20x = 152,154.58
  5. Step 5: Solve for x
    x = 152,154.58/334.20
  6. Step 6: Final answer
    x = 455.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.