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Finding the Fourth Proportional to 347.29, 476.18 and 339.09

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Solution

The fourth proportional to 347.29, 476.18 and 339.09 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.29 : 476.18 = 339.09 : x
  2. Step 2: Convert to fraction form
    347.29/476.18 = 339.09/x
  3. Step 3: Cross multiply
    347.29x = 476.18 × 339.09
  4. Step 4: Simplify right side
    347.29x = 161,465.67
  5. Step 5: Solve for x
    x = 161,465.67/347.29
  6. Step 6: Final answer
    x = 464.93

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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.