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Finding the Fourth Proportional to 283.16, 389.99 and 266.15

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Solution

The fourth proportional to 283.16, 389.99 and 266.15 is: 366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 389.99 = 266.15 : x
  2. Step 2: Convert to fraction form
    283.16/389.99 = 266.15/x
  3. Step 3: Cross multiply
    283.16x = 389.99 × 266.15
  4. Step 4: Simplify right side
    283.16x = 103,792.56
  5. Step 5: Solve for x
    x = 103,792.56/283.16
  6. Step 6: Final answer
    x = 366.56

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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.