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Finding the Fourth Proportional to 285.16, 393.70 and 216.04

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Solution

The fourth proportional to 285.16, 393.70 and 216.04 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.16 : 393.70 = 216.04 : x
  2. Step 2: Convert to fraction form
    285.16/393.70 = 216.04/x
  3. Step 3: Cross multiply
    285.16x = 393.70 × 216.04
  4. Step 4: Simplify right side
    285.16x = 85,054.95
  5. Step 5: Solve for x
    x = 85,054.95/285.16
  6. Step 6: Final answer
    x = 298.27

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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.