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Finding the Fourth Proportional to 375.21, 561.90 and 309.81

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Solution

The fourth proportional to 375.21, 561.90 and 309.81 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.21 : 561.90 = 309.81 : x
  2. Step 2: Convert to fraction form
    375.21/561.90 = 309.81/x
  3. Step 3: Cross multiply
    375.21x = 561.90 × 309.81
  4. Step 4: Simplify right side
    375.21x = 174,082.24
  5. Step 5: Solve for x
    x = 174,082.24/375.21
  6. Step 6: Final answer
    x = 463.96

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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.