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Finding the Fourth Proportional to 334.80, 504.05 and 262.06

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Solution

The fourth proportional to 334.80, 504.05 and 262.06 is: 394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 504.05 = 262.06 : x
  2. Step 2: Convert to fraction form
    334.80/504.05 = 262.06/x
  3. Step 3: Cross multiply
    334.80x = 504.05 × 262.06
  4. Step 4: Simplify right side
    334.80x = 132,088.77
  5. Step 5: Solve for x
    x = 132,088.77/334.80
  6. Step 6: Final answer
    x = 394.53

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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.