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Finding the Fourth Proportional to 379.74, 525.21 and 301.83

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Solution

The fourth proportional to 379.74, 525.21 and 301.83 is: 417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.74 : 525.21 = 301.83 : x
  2. Step 2: Convert to fraction form
    379.74/525.21 = 301.83/x
  3. Step 3: Cross multiply
    379.74x = 525.21 × 301.83
  4. Step 4: Simplify right side
    379.74x = 158,524.13
  5. Step 5: Solve for x
    x = 158,524.13/379.74
  6. Step 6: Final answer
    x = 417.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.