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Finding the Fourth Proportional to 296.87, 442.87 and 280.67

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Solution

The fourth proportional to 296.87, 442.87 and 280.67 is: 418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.87 : 442.87 = 280.67 : x
  2. Step 2: Convert to fraction form
    296.87/442.87 = 280.67/x
  3. Step 3: Cross multiply
    296.87x = 442.87 × 280.67
  4. Step 4: Simplify right side
    296.87x = 124,297.41
  5. Step 5: Solve for x
    x = 124,297.41/296.87
  6. Step 6: Final answer
    x = 418.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.