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Finding the Fourth Proportional to 314.34, 470.43 and 232.98

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Solution

The fourth proportional to 314.34, 470.43 and 232.98 is: 348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 470.43 = 232.98 : x
  2. Step 2: Convert to fraction form
    314.34/470.43 = 232.98/x
  3. Step 3: Cross multiply
    314.34x = 470.43 × 232.98
  4. Step 4: Simplify right side
    314.34x = 109,600.78
  5. Step 5: Solve for x
    x = 109,600.78/314.34
  6. Step 6: Final answer
    x = 348.67

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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.