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Finding the Fourth Proportional to 339.99, 510.01 and 144.80

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Solution

The fourth proportional to 339.99, 510.01 and 144.80 is: 217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.99 : 510.01 = 144.80 : x
  2. Step 2: Convert to fraction form
    339.99/510.01 = 144.80/x
  3. Step 3: Cross multiply
    339.99x = 510.01 × 144.80
  4. Step 4: Simplify right side
    339.99x = 73,849.45
  5. Step 5: Solve for x
    x = 73,849.45/339.99
  6. Step 6: Final answer
    x = 217.21

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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.