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Finding the Fourth Proportional to 354.10, 528.57 and 338.32

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Solution

The fourth proportional to 354.10, 528.57 and 338.32 is: 505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.10 : 528.57 = 338.32 : x
  2. Step 2: Convert to fraction form
    354.10/528.57 = 338.32/x
  3. Step 3: Cross multiply
    354.10x = 528.57 × 338.32
  4. Step 4: Simplify right side
    354.10x = 178,825.80
  5. Step 5: Solve for x
    x = 178,825.80/354.10
  6. Step 6: Final answer
    x = 505.01

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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.