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Finding the Fourth Proportional to 305.65, 421.32 and 231.67

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Solution

The fourth proportional to 305.65, 421.32 and 231.67 is: 319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 421.32 = 231.67 : x
  2. Step 2: Convert to fraction form
    305.65/421.32 = 231.67/x
  3. Step 3: Cross multiply
    305.65x = 421.32 × 231.67
  4. Step 4: Simplify right side
    305.65x = 97,607.20
  5. Step 5: Solve for x
    x = 97,607.20/305.65
  6. Step 6: Final answer
    x = 319.34

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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.