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Finding the Fourth Proportional to 292.76, 440.90 and 264.24

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Solution

The fourth proportional to 292.76, 440.90 and 264.24 is: 397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.76 : 440.90 = 264.24 : x
  2. Step 2: Convert to fraction form
    292.76/440.90 = 264.24/x
  3. Step 3: Cross multiply
    292.76x = 440.90 × 264.24
  4. Step 4: Simplify right side
    292.76x = 116,503.42
  5. Step 5: Solve for x
    x = 116,503.42/292.76
  6. Step 6: Final answer
    x = 397.95

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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.