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Finding the Fourth Proportional to 375.45, 564.07 and 354.72

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Solution

The fourth proportional to 375.45, 564.07 and 354.72 is: 532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.45 : 564.07 = 354.72 : x
  2. Step 2: Convert to fraction form
    375.45/564.07 = 354.72/x
  3. Step 3: Cross multiply
    375.45x = 564.07 × 354.72
  4. Step 4: Simplify right side
    375.45x = 200,086.91
  5. Step 5: Solve for x
    x = 200,086.91/375.45
  6. Step 6: Final answer
    x = 532.93

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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.