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Finding the Fourth Proportional to 357.58, 535.26 and 327.30

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Solution

The fourth proportional to 357.58, 535.26 and 327.30 is: 489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.58 : 535.26 = 327.30 : x
  2. Step 2: Convert to fraction form
    357.58/535.26 = 327.30/x
  3. Step 3: Cross multiply
    357.58x = 535.26 × 327.30
  4. Step 4: Simplify right side
    357.58x = 175,193.81
  5. Step 5: Solve for x
    x = 175,193.81/357.58
  6. Step 6: Final answer
    x = 489.94

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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.