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Finding the Fourth Proportional to 375.89, 560.33 and 355.37

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Solution

The fourth proportional to 375.89, 560.33 and 355.37 is: 529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 560.33 = 355.37 : x
  2. Step 2: Convert to fraction form
    375.89/560.33 = 355.37/x
  3. Step 3: Cross multiply
    375.89x = 560.33 × 355.37
  4. Step 4: Simplify right side
    375.89x = 199,119.89
  5. Step 5: Solve for x
    x = 199,119.89/375.89
  6. Step 6: Final answer
    x = 529.74

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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.