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Finding the Fourth Proportional to 292.52, 440.76 and 242.28

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Solution

The fourth proportional to 292.52, 440.76 and 242.28 is: 365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.52 : 440.76 = 242.28 : x
  2. Step 2: Convert to fraction form
    292.52/440.76 = 242.28/x
  3. Step 3: Cross multiply
    292.52x = 440.76 × 242.28
  4. Step 4: Simplify right side
    292.52x = 106,787.33
  5. Step 5: Solve for x
    x = 106,787.33/292.52
  6. Step 6: Final answer
    x = 365.07

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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.