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Finding the Fourth Proportional to 292.56, 404.28 and 266.64

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Solution

The fourth proportional to 292.56, 404.28 and 266.64 is: 368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 404.28 = 266.64 : x
  2. Step 2: Convert to fraction form
    292.56/404.28 = 266.64/x
  3. Step 3: Cross multiply
    292.56x = 404.28 × 266.64
  4. Step 4: Simplify right side
    292.56x = 107,797.22
  5. Step 5: Solve for x
    x = 107,797.22/292.56
  6. Step 6: Final answer
    x = 368.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.