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Finding the Fourth Proportional to 323.76, 487.58 and 283.67

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Solution

The fourth proportional to 323.76, 487.58 and 283.67 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 487.58 = 283.67 : x
  2. Step 2: Convert to fraction form
    323.76/487.58 = 283.67/x
  3. Step 3: Cross multiply
    323.76x = 487.58 × 283.67
  4. Step 4: Simplify right side
    323.76x = 138,307.96
  5. Step 5: Solve for x
    x = 138,307.96/323.76
  6. Step 6: Final answer
    x = 427.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.