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Finding the Fourth Proportional to 356.95, 493.49 and 341.65

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Solution

The fourth proportional to 356.95, 493.49 and 341.65 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.95 : 493.49 = 341.65 : x
  2. Step 2: Convert to fraction form
    356.95/493.49 = 341.65/x
  3. Step 3: Cross multiply
    356.95x = 493.49 × 341.65
  4. Step 4: Simplify right side
    356.95x = 168,596.68
  5. Step 5: Solve for x
    x = 168,596.68/356.95
  6. Step 6: Final answer
    x = 472.33

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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.