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Finding the Fourth Proportional to 283.16, 391.68 and 264.86

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Solution

The fourth proportional to 283.16, 391.68 and 264.86 is: 366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 391.68 = 264.86 : x
  2. Step 2: Convert to fraction form
    283.16/391.68 = 264.86/x
  3. Step 3: Cross multiply
    283.16x = 391.68 × 264.86
  4. Step 4: Simplify right side
    283.16x = 103,740.36
  5. Step 5: Solve for x
    x = 103,740.36/283.16
  6. Step 6: Final answer
    x = 366.37

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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.