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Finding the Fourth Proportional to 442.55, 662.56 and 351.38

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Solution

The fourth proportional to 442.55, 662.56 and 351.38 is: 526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.55 : 662.56 = 351.38 : x
  2. Step 2: Convert to fraction form
    442.55/662.56 = 351.38/x
  3. Step 3: Cross multiply
    442.55x = 662.56 × 351.38
  4. Step 4: Simplify right side
    442.55x = 232,805.26
  5. Step 5: Solve for x
    x = 232,805.26/442.55
  6. Step 6: Final answer
    x = 526.06

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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.