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Finding the Fourth Proportional to 288.50, 432.74 and 180.23

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Solution

The fourth proportional to 288.50, 432.74 and 180.23 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 432.74 = 180.23 : x
  2. Step 2: Convert to fraction form
    288.50/432.74 = 180.23/x
  3. Step 3: Cross multiply
    288.50x = 432.74 × 180.23
  4. Step 4: Simplify right side
    288.50x = 77,991.02
  5. Step 5: Solve for x
    x = 77,991.02/288.50
  6. Step 6: Final answer
    x = 270.34

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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.