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Finding the Fourth Proportional to 389.75, 536.02 and 310.13

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Solution

The fourth proportional to 389.75, 536.02 and 310.13 is: 426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.75 : 536.02 = 310.13 : x
  2. Step 2: Convert to fraction form
    389.75/536.02 = 310.13/x
  3. Step 3: Cross multiply
    389.75x = 536.02 × 310.13
  4. Step 4: Simplify right side
    389.75x = 166,235.88
  5. Step 5: Solve for x
    x = 166,235.88/389.75
  6. Step 6: Final answer
    x = 426.52

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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.