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Finding the Fourth Proportional to 347.47, 476.81 and 316.14

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Solution

The fourth proportional to 347.47, 476.81 and 316.14 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.47 : 476.81 = 316.14 : x
  2. Step 2: Convert to fraction form
    347.47/476.81 = 316.14/x
  3. Step 3: Cross multiply
    347.47x = 476.81 × 316.14
  4. Step 4: Simplify right side
    347.47x = 150,739.21
  5. Step 5: Solve for x
    x = 150,739.21/347.47
  6. Step 6: Final answer
    x = 433.82

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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.