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Finding the Fourth Proportional to 376.76, 564.16 and 303.23

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Solution

The fourth proportional to 376.76, 564.16 and 303.23 is: 454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.76 : 564.16 = 303.23 : x
  2. Step 2: Convert to fraction form
    376.76/564.16 = 303.23/x
  3. Step 3: Cross multiply
    376.76x = 564.16 × 303.23
  4. Step 4: Simplify right side
    376.76x = 171,070.13
  5. Step 5: Solve for x
    x = 171,070.13/376.76
  6. Step 6: Final answer
    x = 454.06

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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.