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Finding the Fourth Proportional to 293.60, 436.06 and 288.20

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Solution

The fourth proportional to 293.60, 436.06 and 288.20 is: 428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 436.06 = 288.20 : x
  2. Step 2: Convert to fraction form
    293.60/436.06 = 288.20/x
  3. Step 3: Cross multiply
    293.60x = 436.06 × 288.20
  4. Step 4: Simplify right side
    293.60x = 125,672.49
  5. Step 5: Solve for x
    x = 125,672.49/293.60
  6. Step 6: Final answer
    x = 428.04

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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.