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Finding the Fourth Proportional to 472.22, 708.78 and 361.50

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Solution

The fourth proportional to 472.22, 708.78 and 361.50 is: 542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.22 : 708.78 = 361.50 : x
  2. Step 2: Convert to fraction form
    472.22/708.78 = 361.50/x
  3. Step 3: Cross multiply
    472.22x = 708.78 × 361.50
  4. Step 4: Simplify right side
    472.22x = 256,223.97
  5. Step 5: Solve for x
    x = 256,223.97/472.22
  6. Step 6: Final answer
    x = 542.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.