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Finding the Fourth Proportional to 285.54, 393.98 and 214.71

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Solution

The fourth proportional to 285.54, 393.98 and 214.71 is: 296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.54 : 393.98 = 214.71 : x
  2. Step 2: Convert to fraction form
    285.54/393.98 = 214.71/x
  3. Step 3: Cross multiply
    285.54x = 393.98 × 214.71
  4. Step 4: Simplify right side
    285.54x = 84,592.95
  5. Step 5: Solve for x
    x = 84,592.95/285.54
  6. Step 6: Final answer
    x = 296.25

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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.