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Finding the Fourth Proportional to 347.39, 477.43 and 337.67

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Solution

The fourth proportional to 347.39, 477.43 and 337.67 is: 464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.39 : 477.43 = 337.67 : x
  2. Step 2: Convert to fraction form
    347.39/477.43 = 337.67/x
  3. Step 3: Cross multiply
    347.39x = 477.43 × 337.67
  4. Step 4: Simplify right side
    347.39x = 161,209.71
  5. Step 5: Solve for x
    x = 161,209.71/347.39
  6. Step 6: Final answer
    x = 464.07

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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.