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Finding the Fourth Proportional to 293.88, 435.72 and 287.40

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Solution

The fourth proportional to 293.88, 435.72 and 287.40 is: 426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.88 : 435.72 = 287.40 : x
  2. Step 2: Convert to fraction form
    293.88/435.72 = 287.40/x
  3. Step 3: Cross multiply
    293.88x = 435.72 × 287.40
  4. Step 4: Simplify right side
    293.88x = 125,225.93
  5. Step 5: Solve for x
    x = 125,225.93/293.88
  6. Step 6: Final answer
    x = 426.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.