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Finding the Fourth Proportional to 369.80, 510.14 and 222.40

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Solution

The fourth proportional to 369.80, 510.14 and 222.40 is: 306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 510.14 = 222.40 : x
  2. Step 2: Convert to fraction form
    369.80/510.14 = 222.40/x
  3. Step 3: Cross multiply
    369.80x = 510.14 × 222.40
  4. Step 4: Simplify right side
    369.80x = 113,455.14
  5. Step 5: Solve for x
    x = 113,455.14/369.80
  6. Step 6: Final answer
    x = 306.80

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Why These Related Problems?

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