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Finding the Fourth Proportional to 347.00, 478.68 and 309.14

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Solution

The fourth proportional to 347.00, 478.68 and 309.14 is: 426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.00 : 478.68 = 309.14 : x
  2. Step 2: Convert to fraction form
    347.00/478.68 = 309.14/x
  3. Step 3: Cross multiply
    347.00x = 478.68 × 309.14
  4. Step 4: Simplify right side
    347.00x = 147,976.74
  5. Step 5: Solve for x
    x = 147,976.74/347.00
  6. Step 6: Final answer
    x = 426.45

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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.