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Finding the Fourth Proportional to 287.26, 432.57 and 206.66

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Solution

The fourth proportional to 287.26, 432.57 and 206.66 is: 311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.26 : 432.57 = 206.66 : x
  2. Step 2: Convert to fraction form
    287.26/432.57 = 206.66/x
  3. Step 3: Cross multiply
    287.26x = 432.57 × 206.66
  4. Step 4: Simplify right side
    287.26x = 89,394.92
  5. Step 5: Solve for x
    x = 89,394.92/287.26
  6. Step 6: Final answer
    x = 311.20

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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.