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Finding the Fourth Proportional to 371.21, 510.12 and 301.12

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Solution

The fourth proportional to 371.21, 510.12 and 301.12 is: 413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.21 : 510.12 = 301.12 : x
  2. Step 2: Convert to fraction form
    371.21/510.12 = 301.12/x
  3. Step 3: Cross multiply
    371.21x = 510.12 × 301.12
  4. Step 4: Simplify right side
    371.21x = 153,606.91
  5. Step 5: Solve for x
    x = 153,606.91/371.21
  6. Step 6: Final answer
    x = 413.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.