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Finding the Fourth Proportional to 375.61, 560.11 and 349.65

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Solution

The fourth proportional to 375.61, 560.11 and 349.65 is: 521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.61 : 560.11 = 349.65 : x
  2. Step 2: Convert to fraction form
    375.61/560.11 = 349.65/x
  3. Step 3: Cross multiply
    375.61x = 560.11 × 349.65
  4. Step 4: Simplify right side
    375.61x = 195,837.91
  5. Step 5: Solve for x
    x = 195,837.91/375.61
  6. Step 6: Final answer
    x = 521.39

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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.