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Finding the Fourth Proportional to 375.54, 564.60 and 303.90

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Solution

The fourth proportional to 375.54, 564.60 and 303.90 is: 456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.54 : 564.60 = 303.90 : x
  2. Step 2: Convert to fraction form
    375.54/564.60 = 303.90/x
  3. Step 3: Cross multiply
    375.54x = 564.60 × 303.90
  4. Step 4: Simplify right side
    375.54x = 171,581.94
  5. Step 5: Solve for x
    x = 171,581.94/375.54
  6. Step 6: Final answer
    x = 456.89

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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.