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Finding the Fourth Proportional to 292.32, 435.87 and 279.54

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Solution

The fourth proportional to 292.32, 435.87 and 279.54 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 435.87 = 279.54 : x
  2. Step 2: Convert to fraction form
    292.32/435.87 = 279.54/x
  3. Step 3: Cross multiply
    292.32x = 435.87 × 279.54
  4. Step 4: Simplify right side
    292.32x = 121,843.10
  5. Step 5: Solve for x
    x = 121,843.10/292.32
  6. Step 6: Final answer
    x = 416.81

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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.