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Finding the Fourth Proportional to 472.07, 650.66 and 361.31

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Solution

The fourth proportional to 472.07, 650.66 and 361.31 is: 497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.07 : 650.66 = 361.31 : x
  2. Step 2: Convert to fraction form
    472.07/650.66 = 361.31/x
  3. Step 3: Cross multiply
    472.07x = 650.66 × 361.31
  4. Step 4: Simplify right side
    472.07x = 235,084.90
  5. Step 5: Solve for x
    x = 235,084.90/472.07
  6. Step 6: Final answer
    x = 497.99

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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.