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Finding the Fourth Proportional to 289.51, 432.35 and 273.71

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Solution

The fourth proportional to 289.51, 432.35 and 273.71 is: 408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 432.35 = 273.71 : x
  2. Step 2: Convert to fraction form
    289.51/432.35 = 273.71/x
  3. Step 3: Cross multiply
    289.51x = 432.35 × 273.71
  4. Step 4: Simplify right side
    289.51x = 118,339.26
  5. Step 5: Solve for x
    x = 118,339.26/289.51
  6. Step 6: Final answer
    x = 408.76

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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.