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Finding the Fourth Proportional to 325.79, 486.24 and 281.67

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Solution

The fourth proportional to 325.79, 486.24 and 281.67 is: 420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.79 : 486.24 = 281.67 : x
  2. Step 2: Convert to fraction form
    325.79/486.24 = 281.67/x
  3. Step 3: Cross multiply
    325.79x = 486.24 × 281.67
  4. Step 4: Simplify right side
    325.79x = 136,957.71
  5. Step 5: Solve for x
    x = 136,957.71/325.79
  6. Step 6: Final answer
    x = 420.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.