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Finding the Fourth Proportional to 388.46, 536.02 and 222.64

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Solution

The fourth proportional to 388.46, 536.02 and 222.64 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.46 : 536.02 = 222.64 : x
  2. Step 2: Convert to fraction form
    388.46/536.02 = 222.64/x
  3. Step 3: Cross multiply
    388.46x = 536.02 × 222.64
  4. Step 4: Simplify right side
    388.46x = 119,339.49
  5. Step 5: Solve for x
    x = 119,339.49/388.46
  6. Step 6: Final answer
    x = 307.21

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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.