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Finding the Fourth Proportional to 302.88, 456.96 and 287.69

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Solution

The fourth proportional to 302.88, 456.96 and 287.69 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.88 : 456.96 = 287.69 : x
  2. Step 2: Convert to fraction form
    302.88/456.96 = 287.69/x
  3. Step 3: Cross multiply
    302.88x = 456.96 × 287.69
  4. Step 4: Simplify right side
    302.88x = 131,463.96
  5. Step 5: Solve for x
    x = 131,463.96/302.88
  6. Step 6: Final answer
    x = 434.05

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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.