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Finding the Fourth Proportional to 283.10, 424.65 and 77.67

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Solution

The fourth proportional to 283.10, 424.65 and 77.67 is: 116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 424.65 = 77.67 : x
  2. Step 2: Convert to fraction form
    283.10/424.65 = 77.67/x
  3. Step 3: Cross multiply
    283.10x = 424.65 × 77.67
  4. Step 4: Simplify right side
    283.10x = 32,982.57
  5. Step 5: Solve for x
    x = 32,982.57/283.10
  6. Step 6: Final answer
    x = 116.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.