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Finding the Fourth Proportional to 351.04, 525.74 and 298.41

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Solution

The fourth proportional to 351.04, 525.74 and 298.41 is: 446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.04 : 525.74 = 298.41 : x
  2. Step 2: Convert to fraction form
    351.04/525.74 = 298.41/x
  3. Step 3: Cross multiply
    351.04x = 525.74 × 298.41
  4. Step 4: Simplify right side
    351.04x = 156,886.07
  5. Step 5: Solve for x
    x = 156,886.07/351.04
  6. Step 6: Final answer
    x = 446.92

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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.