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Finding the Fourth Proportional to 375.39, 561.92 and 310.10

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Solution

The fourth proportional to 375.39, 561.92 and 310.10 is: 464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.39 : 561.92 = 310.10 : x
  2. Step 2: Convert to fraction form
    375.39/561.92 = 310.10/x
  3. Step 3: Cross multiply
    375.39x = 561.92 × 310.10
  4. Step 4: Simplify right side
    375.39x = 174,247.03
  5. Step 5: Solve for x
    x = 174,247.03/375.39
  6. Step 6: Final answer
    x = 464.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.