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Finding the Fourth Proportional to 379.90, 570.07 and 148.95

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Solution

The fourth proportional to 379.90, 570.07 and 148.95 is: 223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.90 : 570.07 = 148.95 : x
  2. Step 2: Convert to fraction form
    379.90/570.07 = 148.95/x
  3. Step 3: Cross multiply
    379.90x = 570.07 × 148.95
  4. Step 4: Simplify right side
    379.90x = 84,911.93
  5. Step 5: Solve for x
    x = 84,911.93/379.90
  6. Step 6: Final answer
    x = 223.51

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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.