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Finding the Fourth Proportional to 292.88, 441.14 and 271.64

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Solution

The fourth proportional to 292.88, 441.14 and 271.64 is: 409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.88 : 441.14 = 271.64 : x
  2. Step 2: Convert to fraction form
    292.88/441.14 = 271.64/x
  3. Step 3: Cross multiply
    292.88x = 441.14 × 271.64
  4. Step 4: Simplify right side
    292.88x = 119,831.27
  5. Step 5: Solve for x
    x = 119,831.27/292.88
  6. Step 6: Final answer
    x = 409.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.