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Finding the Fourth Proportional to 287.93, 430.77 and 206.75

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Solution

The fourth proportional to 287.93, 430.77 and 206.75 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 430.77 = 206.75 : x
  2. Step 2: Convert to fraction form
    287.93/430.77 = 206.75/x
  3. Step 3: Cross multiply
    287.93x = 430.77 × 206.75
  4. Step 4: Simplify right side
    287.93x = 89,061.70
  5. Step 5: Solve for x
    x = 89,061.70/287.93
  6. Step 6: Final answer
    x = 309.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.