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Finding the Fourth Proportional to 342.81, 469.98 and 336.67

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Solution

The fourth proportional to 342.81, 469.98 and 336.67 is: 461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.81 : 469.98 = 336.67 : x
  2. Step 2: Convert to fraction form
    342.81/469.98 = 336.67/x
  3. Step 3: Cross multiply
    342.81x = 469.98 × 336.67
  4. Step 4: Simplify right side
    342.81x = 158,226.99
  5. Step 5: Solve for x
    x = 158,226.99/342.81
  6. Step 6: Final answer
    x = 461.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.