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Finding the Fourth Proportional to 289.13, 432.68 and 173.63

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Solution

The fourth proportional to 289.13, 432.68 and 173.63 is: 259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 432.68 = 173.63 : x
  2. Step 2: Convert to fraction form
    289.13/432.68 = 173.63/x
  3. Step 3: Cross multiply
    289.13x = 432.68 × 173.63
  4. Step 4: Simplify right side
    289.13x = 75,126.44
  5. Step 5: Solve for x
    x = 75,126.44/289.13
  6. Step 6: Final answer
    x = 259.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.