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Finding the Fourth Proportional to 348.09, 476.66 and 334.32

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Solution

The fourth proportional to 348.09, 476.66 and 334.32 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.09 : 476.66 = 334.32 : x
  2. Step 2: Convert to fraction form
    348.09/476.66 = 334.32/x
  3. Step 3: Cross multiply
    348.09x = 476.66 × 334.32
  4. Step 4: Simplify right side
    348.09x = 159,355.30
  5. Step 5: Solve for x
    x = 159,355.30/348.09
  6. Step 6: Final answer
    x = 457.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.