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Finding the Fourth Proportional to 288.68, 429.96 and 287.30

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Solution

The fourth proportional to 288.68, 429.96 and 287.30 is: 427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.68 : 429.96 = 287.30 : x
  2. Step 2: Convert to fraction form
    288.68/429.96 = 287.30/x
  3. Step 3: Cross multiply
    288.68x = 429.96 × 287.30
  4. Step 4: Simplify right side
    288.68x = 123,527.51
  5. Step 5: Solve for x
    x = 123,527.51/288.68
  6. Step 6: Final answer
    x = 427.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.