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Finding the Fourth Proportional to 292.24, 439.90 and 266.32

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Solution

The fourth proportional to 292.24, 439.90 and 266.32 is: 400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.24 : 439.90 = 266.32 : x
  2. Step 2: Convert to fraction form
    292.24/439.90 = 266.32/x
  3. Step 3: Cross multiply
    292.24x = 439.90 × 266.32
  4. Step 4: Simplify right side
    292.24x = 117,154.17
  5. Step 5: Solve for x
    x = 117,154.17/292.24
  6. Step 6: Final answer
    x = 400.88

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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.