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Finding the Fourth Proportional to 376.64, 560.22 and 345.65

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Solution

The fourth proportional to 376.64, 560.22 and 345.65 is: 514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.64 : 560.22 = 345.65 : x
  2. Step 2: Convert to fraction form
    376.64/560.22 = 345.65/x
  3. Step 3: Cross multiply
    376.64x = 560.22 × 345.65
  4. Step 4: Simplify right side
    376.64x = 193,641.44
  5. Step 5: Solve for x
    x = 193,641.44/376.64
  6. Step 6: Final answer
    x = 514.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.