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Finding the Fourth Proportional to 376.88, 565.32 and 145.88

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Solution

The fourth proportional to 376.88, 565.32 and 145.88 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.88 : 565.32 = 145.88 : x
  2. Step 2: Convert to fraction form
    376.88/565.32 = 145.88/x
  3. Step 3: Cross multiply
    376.88x = 565.32 × 145.88
  4. Step 4: Simplify right side
    376.88x = 82,466.06
  5. Step 5: Solve for x
    x = 82,466.06/376.88
  6. Step 6: Final answer
    x = 218.82

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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.