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Finding the Fourth Proportional to 271.64, 405.32 and 245.52

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Solution

The fourth proportional to 271.64, 405.32 and 245.52 is: 366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.64 : 405.32 = 245.52 : x
  2. Step 2: Convert to fraction form
    271.64/405.32 = 245.52/x
  3. Step 3: Cross multiply
    271.64x = 405.32 × 245.52
  4. Step 4: Simplify right side
    271.64x = 99,512.94
  5. Step 5: Solve for x
    x = 99,512.94/271.64
  6. Step 6: Final answer
    x = 366.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.