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Finding the Fourth Proportional to 233.07, 347.90 and 222.54

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Solution

The fourth proportional to 233.07, 347.90 and 222.54 is: 332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.07 : 347.90 = 222.54 : x
  2. Step 2: Convert to fraction form
    233.07/347.90 = 222.54/x
  3. Step 3: Cross multiply
    233.07x = 347.90 × 222.54
  4. Step 4: Simplify right side
    233.07x = 77,421.67
  5. Step 5: Solve for x
    x = 77,421.67/233.07
  6. Step 6: Final answer
    x = 332.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.