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Finding the Fourth Proportional to 292.28, 440.16 and 263.72

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Solution

The fourth proportional to 292.28, 440.16 and 263.72 is: 397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.28 : 440.16 = 263.72 : x
  2. Step 2: Convert to fraction form
    292.28/440.16 = 263.72/x
  3. Step 3: Cross multiply
    292.28x = 440.16 × 263.72
  4. Step 4: Simplify right side
    292.28x = 116,079.00
  5. Step 5: Solve for x
    x = 116,079.00/292.28
  6. Step 6: Final answer
    x = 397.15

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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.