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Finding the Fourth Proportional to 288.47, 429.71 and 273.08

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Solution

The fourth proportional to 288.47, 429.71 and 273.08 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.47 : 429.71 = 273.08 : x
  2. Step 2: Convert to fraction form
    288.47/429.71 = 273.08/x
  3. Step 3: Cross multiply
    288.47x = 429.71 × 273.08
  4. Step 4: Simplify right side
    288.47x = 117,345.21
  5. Step 5: Solve for x
    x = 117,345.21/288.47
  6. Step 6: Final answer
    x = 406.78

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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.