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Finding the Fourth Proportional to 283.77, 391.64 and 159.48

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Solution

The fourth proportional to 283.77, 391.64 and 159.48 is: 220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.77 : 391.64 = 159.48 : x
  2. Step 2: Convert to fraction form
    283.77/391.64 = 159.48/x
  3. Step 3: Cross multiply
    283.77x = 391.64 × 159.48
  4. Step 4: Simplify right side
    283.77x = 62,457.95
  5. Step 5: Solve for x
    x = 62,457.95/283.77
  6. Step 6: Final answer
    x = 220.10

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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.