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Finding the Fourth Proportional to 377.32, 568.87 and 342.76

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Solution

The fourth proportional to 377.32, 568.87 and 342.76 is: 516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.32 : 568.87 = 342.76 : x
  2. Step 2: Convert to fraction form
    377.32/568.87 = 342.76/x
  3. Step 3: Cross multiply
    377.32x = 568.87 × 342.76
  4. Step 4: Simplify right side
    377.32x = 194,985.88
  5. Step 5: Solve for x
    x = 194,985.88/377.32
  6. Step 6: Final answer
    x = 516.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.