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Finding the Fourth Proportional to 377.29, 521.54 and 289.81

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Solution

The fourth proportional to 377.29, 521.54 and 289.81 is: 400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.29 : 521.54 = 289.81 : x
  2. Step 2: Convert to fraction form
    377.29/521.54 = 289.81/x
  3. Step 3: Cross multiply
    377.29x = 521.54 × 289.81
  4. Step 4: Simplify right side
    377.29x = 151,147.51
  5. Step 5: Solve for x
    x = 151,147.51/377.29
  6. Step 6: Final answer
    x = 400.61

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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.