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Finding the Fourth Proportional to 387.90, 535.33 and 222.17

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Solution

The fourth proportional to 387.90, 535.33 and 222.17 is: 306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.90 : 535.33 = 222.17 : x
  2. Step 2: Convert to fraction form
    387.90/535.33 = 222.17/x
  3. Step 3: Cross multiply
    387.90x = 535.33 × 222.17
  4. Step 4: Simplify right side
    387.90x = 118,931.03
  5. Step 5: Solve for x
    x = 118,931.03/387.90
  6. Step 6: Final answer
    x = 306.60

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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.