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Finding the Fourth Proportional to 375.53, 564.30 and 350.91

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Solution

The fourth proportional to 375.53, 564.30 and 350.91 is: 527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.53 : 564.30 = 350.91 : x
  2. Step 2: Convert to fraction form
    375.53/564.30 = 350.91/x
  3. Step 3: Cross multiply
    375.53x = 564.30 × 350.91
  4. Step 4: Simplify right side
    375.53x = 198,018.51
  5. Step 5: Solve for x
    x = 198,018.51/375.53
  6. Step 6: Final answer
    x = 527.31

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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.