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Finding the Fourth Proportional to 370.02, 510.32 and 222.55

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Solution

The fourth proportional to 370.02, 510.32 and 222.55 is: 306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.02 : 510.32 = 222.55 : x
  2. Step 2: Convert to fraction form
    370.02/510.32 = 222.55/x
  3. Step 3: Cross multiply
    370.02x = 510.32 × 222.55
  4. Step 4: Simplify right side
    370.02x = 113,571.72
  5. Step 5: Solve for x
    x = 113,571.72/370.02
  6. Step 6: Final answer
    x = 306.93

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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.