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Finding the Fourth Proportional to 285.90, 394.53 and 154.90

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Solution

The fourth proportional to 285.90, 394.53 and 154.90 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.90 : 394.53 = 154.90 : x
  2. Step 2: Convert to fraction form
    285.90/394.53 = 154.90/x
  3. Step 3: Cross multiply
    285.90x = 394.53 × 154.90
  4. Step 4: Simplify right side
    285.90x = 61,112.61
  5. Step 5: Solve for x
    x = 61,112.61/285.90
  6. Step 6: Final answer
    x = 213.76

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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.