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Finding the Fourth Proportional to 315.54, 435.71 and 222.39

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Solution

The fourth proportional to 315.54, 435.71 and 222.39 is: 307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.54 : 435.71 = 222.39 : x
  2. Step 2: Convert to fraction form
    315.54/435.71 = 222.39/x
  3. Step 3: Cross multiply
    315.54x = 435.71 × 222.39
  4. Step 4: Simplify right side
    315.54x = 96,897.55
  5. Step 5: Solve for x
    x = 96,897.55/315.54
  6. Step 6: Final answer
    x = 307.08

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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.