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Finding the Fourth Proportional to 348.26, 525.01 and 324.77

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Solution

The fourth proportional to 348.26, 525.01 and 324.77 is: 489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 525.01 = 324.77 : x
  2. Step 2: Convert to fraction form
    348.26/525.01 = 324.77/x
  3. Step 3: Cross multiply
    348.26x = 525.01 × 324.77
  4. Step 4: Simplify right side
    348.26x = 170,507.50
  5. Step 5: Solve for x
    x = 170,507.50/348.26
  6. Step 6: Final answer
    x = 489.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.