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Finding the Fourth Proportional to 377.14, 565.54 and 171.77

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Solution

The fourth proportional to 377.14, 565.54 and 171.77 is: 257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.14 : 565.54 = 171.77 : x
  2. Step 2: Convert to fraction form
    377.14/565.54 = 171.77/x
  3. Step 3: Cross multiply
    377.14x = 565.54 × 171.77
  4. Step 4: Simplify right side
    377.14x = 97,143.94
  5. Step 5: Solve for x
    x = 97,143.94/377.14
  6. Step 6: Final answer
    x = 257.58

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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.