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Finding the Fourth Proportional to 389.12, 535.75 and 315.68

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Solution

The fourth proportional to 389.12, 535.75 and 315.68 is: 434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.12 : 535.75 = 315.68 : x
  2. Step 2: Convert to fraction form
    389.12/535.75 = 315.68/x
  3. Step 3: Cross multiply
    389.12x = 535.75 × 315.68
  4. Step 4: Simplify right side
    389.12x = 169,122.09
  5. Step 5: Solve for x
    x = 169,122.09/389.12
  6. Step 6: Final answer
    x = 434.63

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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.