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Finding the Fourth Proportional to 375.10, 561.94 and 253.15

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Solution

The fourth proportional to 375.10, 561.94 and 253.15 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.10 : 561.94 = 253.15 : x
  2. Step 2: Convert to fraction form
    375.10/561.94 = 253.15/x
  3. Step 3: Cross multiply
    375.10x = 561.94 × 253.15
  4. Step 4: Simplify right side
    375.10x = 142,255.11
  5. Step 5: Solve for x
    x = 142,255.11/375.10
  6. Step 6: Final answer
    x = 379.25

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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.