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Finding the Fourth Proportional to 283.21, 390.81 and 158.86

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Solution

The fourth proportional to 283.21, 390.81 and 158.86 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.21 : 390.81 = 158.86 : x
  2. Step 2: Convert to fraction form
    283.21/390.81 = 158.86/x
  3. Step 3: Cross multiply
    283.21x = 390.81 × 158.86
  4. Step 4: Simplify right side
    283.21x = 62,082.12
  5. Step 5: Solve for x
    x = 62,082.12/283.21
  6. Step 6: Final answer
    x = 219.21

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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.