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Finding the Fourth Proportional to 394.42, 591.76 and 284.98

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Solution

The fourth proportional to 394.42, 591.76 and 284.98 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.42 : 591.76 = 284.98 : x
  2. Step 2: Convert to fraction form
    394.42/591.76 = 284.98/x
  3. Step 3: Cross multiply
    394.42x = 591.76 × 284.98
  4. Step 4: Simplify right side
    394.42x = 168,639.76
  5. Step 5: Solve for x
    x = 168,639.76/394.42
  6. Step 6: Final answer
    x = 427.56

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Why These Related Problems?

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