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Finding the Fourth Proportional to 375.86, 564.28 and 318.58

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Solution

The fourth proportional to 375.86, 564.28 and 318.58 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.86 : 564.28 = 318.58 : x
  2. Step 2: Convert to fraction form
    375.86/564.28 = 318.58/x
  3. Step 3: Cross multiply
    375.86x = 564.28 × 318.58
  4. Step 4: Simplify right side
    375.86x = 179,768.32
  5. Step 5: Solve for x
    x = 179,768.32/375.86
  6. Step 6: Final answer
    x = 478.29

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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.