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Finding the Fourth Proportional to 338.55, 504.89 and 332.07

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Solution

The fourth proportional to 338.55, 504.89 and 332.07 is: 495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.55 : 504.89 = 332.07 : x
  2. Step 2: Convert to fraction form
    338.55/504.89 = 332.07/x
  3. Step 3: Cross multiply
    338.55x = 504.89 × 332.07
  4. Step 4: Simplify right side
    338.55x = 167,657.16
  5. Step 5: Solve for x
    x = 167,657.16/338.55
  6. Step 6: Final answer
    x = 495.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.