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Finding the Fourth Proportional to 287.94, 433.61 and 207.35

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Solution

The fourth proportional to 287.94, 433.61 and 207.35 is: 312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.94 : 433.61 = 207.35 : x
  2. Step 2: Convert to fraction form
    287.94/433.61 = 207.35/x
  3. Step 3: Cross multiply
    287.94x = 433.61 × 207.35
  4. Step 4: Simplify right side
    287.94x = 89,909.03
  5. Step 5: Solve for x
    x = 89,909.03/287.94
  6. Step 6: Final answer
    x = 312.25

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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.