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Finding the Fourth Proportional to 287.70, 433.23 and 207.10

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Solution

The fourth proportional to 287.70, 433.23 and 207.10 is: 311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.70 : 433.23 = 207.10 : x
  2. Step 2: Convert to fraction form
    287.70/433.23 = 207.10/x
  3. Step 3: Cross multiply
    287.70x = 433.23 × 207.10
  4. Step 4: Simplify right side
    287.70x = 89,721.93
  5. Step 5: Solve for x
    x = 89,721.93/287.70
  6. Step 6: Final answer
    x = 311.86

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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.