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Finding the Fourth Proportional to 357.83, 494.12 and 346.21

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Solution

The fourth proportional to 357.83, 494.12 and 346.21 is: 478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.83 : 494.12 = 346.21 : x
  2. Step 2: Convert to fraction form
    357.83/494.12 = 346.21/x
  3. Step 3: Cross multiply
    357.83x = 494.12 × 346.21
  4. Step 4: Simplify right side
    357.83x = 171,069.29
  5. Step 5: Solve for x
    x = 171,069.29/357.83
  6. Step 6: Final answer
    x = 478.07

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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.