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Finding the Fourth Proportional to 377.96, 521.76 and 259.89

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Solution

The fourth proportional to 377.96, 521.76 and 259.89 is: 358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.96 : 521.76 = 259.89 : x
  2. Step 2: Convert to fraction form
    377.96/521.76 = 259.89/x
  3. Step 3: Cross multiply
    377.96x = 521.76 × 259.89
  4. Step 4: Simplify right side
    377.96x = 135,600.21
  5. Step 5: Solve for x
    x = 135,600.21/377.96
  6. Step 6: Final answer
    x = 358.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.