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Finding the Fourth Proportional to 361.26, 497.34 and 346.68

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Solution

The fourth proportional to 361.26, 497.34 and 346.68 is: 477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.26 : 497.34 = 346.68 : x
  2. Step 2: Convert to fraction form
    361.26/497.34 = 346.68/x
  3. Step 3: Cross multiply
    361.26x = 497.34 × 346.68
  4. Step 4: Simplify right side
    361.26x = 172,417.83
  5. Step 5: Solve for x
    x = 172,417.83/361.26
  6. Step 6: Final answer
    x = 477.27

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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.