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Finding the Fourth Proportional to 347.12, 523.24 and 317.91

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Solution

The fourth proportional to 347.12, 523.24 and 317.91 is: 479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.12 : 523.24 = 317.91 : x
  2. Step 2: Convert to fraction form
    347.12/523.24 = 317.91/x
  3. Step 3: Cross multiply
    347.12x = 523.24 × 317.91
  4. Step 4: Simplify right side
    347.12x = 166,343.23
  5. Step 5: Solve for x
    x = 166,343.23/347.12
  6. Step 6: Final answer
    x = 479.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.