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Finding the Fourth Proportional to 379.99, 524.34 and 214.18

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Solution

The fourth proportional to 379.99, 524.34 and 214.18 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.99 : 524.34 = 214.18 : x
  2. Step 2: Convert to fraction form
    379.99/524.34 = 214.18/x
  3. Step 3: Cross multiply
    379.99x = 524.34 × 214.18
  4. Step 4: Simplify right side
    379.99x = 112,303.14
  5. Step 5: Solve for x
    x = 112,303.14/379.99
  6. Step 6: Final answer
    x = 295.54

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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.