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Finding the Fourth Proportional to 369.78, 510.24 and 222.40

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Solution

The fourth proportional to 369.78, 510.24 and 222.40 is: 306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 510.24 = 222.40 : x
  2. Step 2: Convert to fraction form
    369.78/510.24 = 222.40/x
  3. Step 3: Cross multiply
    369.78x = 510.24 × 222.40
  4. Step 4: Simplify right side
    369.78x = 113,477.38
  5. Step 5: Solve for x
    x = 113,477.38/369.78
  6. Step 6: Final answer
    x = 306.88

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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.