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Finding the Fourth Proportional to 288.53, 432.78 and 105.84

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Solution

The fourth proportional to 288.53, 432.78 and 105.84 is: 158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.53 : 432.78 = 105.84 : x
  2. Step 2: Convert to fraction form
    288.53/432.78 = 105.84/x
  3. Step 3: Cross multiply
    288.53x = 432.78 × 105.84
  4. Step 4: Simplify right side
    288.53x = 45,805.04
  5. Step 5: Solve for x
    x = 45,805.04/288.53
  6. Step 6: Final answer
    x = 158.75

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Why These Related Problems?

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