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Finding the Fourth Proportional to 375.98, 561.27 and 346.76

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Solution

The fourth proportional to 375.98, 561.27 and 346.76 is: 517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.98 : 561.27 = 346.76 : x
  2. Step 2: Convert to fraction form
    375.98/561.27 = 346.76/x
  3. Step 3: Cross multiply
    375.98x = 561.27 × 346.76
  4. Step 4: Simplify right side
    375.98x = 194,626.54
  5. Step 5: Solve for x
    x = 194,626.54/375.98
  6. Step 6: Final answer
    x = 517.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.