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Finding the Fourth Proportional to 472.43, 652.26 and 361.70

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Solution

The fourth proportional to 472.43, 652.26 and 361.70 is: 499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.43 : 652.26 = 361.70 : x
  2. Step 2: Convert to fraction form
    472.43/652.26 = 361.70/x
  3. Step 3: Cross multiply
    472.43x = 652.26 × 361.70
  4. Step 4: Simplify right side
    472.43x = 235,925.43
  5. Step 5: Solve for x
    x = 235,925.43/472.43
  6. Step 6: Final answer
    x = 499.39

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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.