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Finding the Fourth Proportional to 354.09, 531.06 and 337.08

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Solution

The fourth proportional to 354.09, 531.06 and 337.08 is: 505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.09 : 531.06 = 337.08 : x
  2. Step 2: Convert to fraction form
    354.09/531.06 = 337.08/x
  3. Step 3: Cross multiply
    354.09x = 531.06 × 337.08
  4. Step 4: Simplify right side
    354.09x = 179,009.70
  5. Step 5: Solve for x
    x = 179,009.70/354.09
  6. Step 6: Final answer
    x = 505.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.