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Finding the Fourth Proportional to 261.81, 390.85 and 222.89

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Solution

The fourth proportional to 261.81, 390.85 and 222.89 is: 332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.81 : 390.85 = 222.89 : x
  2. Step 2: Convert to fraction form
    261.81/390.85 = 222.89/x
  3. Step 3: Cross multiply
    261.81x = 390.85 × 222.89
  4. Step 4: Simplify right side
    261.81x = 87,114.05
  5. Step 5: Solve for x
    x = 87,114.05/261.81
  6. Step 6: Final answer
    x = 332.74

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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.