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Finding the Fourth Proportional to 292.40, 440.64 and 263.54

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Solution

The fourth proportional to 292.40, 440.64 and 263.54 is: 397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.40 : 440.64 = 263.54 : x
  2. Step 2: Convert to fraction form
    292.40/440.64 = 263.54/x
  3. Step 3: Cross multiply
    292.40x = 440.64 × 263.54
  4. Step 4: Simplify right side
    292.40x = 116,126.27
  5. Step 5: Solve for x
    x = 116,126.27/292.40
  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.