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Finding the Fourth Proportional to 375.10, 561.74 and 265.75

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Solution

The fourth proportional to 375.10, 561.74 and 265.75 is: 397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.10 : 561.74 = 265.75 : x
  2. Step 2: Convert to fraction form
    375.10/561.74 = 265.75/x
  3. Step 3: Cross multiply
    375.10x = 561.74 × 265.75
  4. Step 4: Simplify right side
    375.10x = 149,279.67
  5. Step 5: Solve for x
    x = 149,279.67/375.10
  6. Step 6: Final answer
    x = 397.98

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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.