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Finding the Fourth Proportional to 431.95, 647.74 and 171.81

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Solution

The fourth proportional to 431.95, 647.74 and 171.81 is: 257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.95 : 647.74 = 171.81 : x
  2. Step 2: Convert to fraction form
    431.95/647.74 = 171.81/x
  3. Step 3: Cross multiply
    431.95x = 647.74 × 171.81
  4. Step 4: Simplify right side
    431.95x = 111,288.21
  5. Step 5: Solve for x
    x = 111,288.21/431.95
  6. Step 6: Final answer
    x = 257.64

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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.