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Finding the Fourth Proportional to 292.20, 436.01 and 266.33

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Solution

The fourth proportional to 292.20, 436.01 and 266.33 is: 397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 436.01 = 266.33 : x
  2. Step 2: Convert to fraction form
    292.20/436.01 = 266.33/x
  3. Step 3: Cross multiply
    292.20x = 436.01 × 266.33
  4. Step 4: Simplify right side
    292.20x = 116,119.03
  5. Step 5: Solve for x
    x = 116,119.03/292.20
  6. Step 6: Final answer
    x = 397.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.