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Finding the Fourth Proportional to 347.23, 517.91 and 316.54

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Solution

The fourth proportional to 347.23, 517.91 and 316.54 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.23 : 517.91 = 316.54 : x
  2. Step 2: Convert to fraction form
    347.23/517.91 = 316.54/x
  3. Step 3: Cross multiply
    347.23x = 517.91 × 316.54
  4. Step 4: Simplify right side
    347.23x = 163,939.23
  5. Step 5: Solve for x
    x = 163,939.23/347.23
  6. Step 6: Final answer
    x = 472.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.