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Finding the Fourth Proportional to 556.24, 833.88 and 214

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Solution

The fourth proportional to 556.24, 833.88 and 214 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.24 : 833.88 = 214 : x
  2. Step 2: Convert to fraction form
    556.24/833.88 = 214/x
  3. Step 3: Cross multiply
    556.24x = 833.88 × 214
  4. Step 4: Simplify right side
    556.24x = 178,450.32
  5. Step 5: Solve for x
    x = 178,450.32/556.24
  6. Step 6: Final answer
    x = 320.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.