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Finding the Fourth Proportional to 317.76, 438.50 and 186.86

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Solution

The fourth proportional to 317.76, 438.50 and 186.86 is: 257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 438.50 = 186.86 : x
  2. Step 2: Convert to fraction form
    317.76/438.50 = 186.86/x
  3. Step 3: Cross multiply
    317.76x = 438.50 × 186.86
  4. Step 4: Simplify right side
    317.76x = 81,938.11
  5. Step 5: Solve for x
    x = 81,938.11/317.76
  6. Step 6: Final answer
    x = 257.86

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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.