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Finding the Fourth Proportional to 279.32, 384.95 and 213.91

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Solution

The fourth proportional to 279.32, 384.95 and 213.91 is: 294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.32 : 384.95 = 213.91 : x
  2. Step 2: Convert to fraction form
    279.32/384.95 = 213.91/x
  3. Step 3: Cross multiply
    279.32x = 384.95 × 213.91
  4. Step 4: Simplify right side
    279.32x = 82,344.23
  5. Step 5: Solve for x
    x = 82,344.23/279.32
  6. Step 6: Final answer
    x = 294.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.