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Finding the Fourth Proportional to 288.56, 432.72 and 192.98

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Solution

The fourth proportional to 288.56, 432.72 and 192.98 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 432.72 = 192.98 : x
  2. Step 2: Convert to fraction form
    288.56/432.72 = 192.98/x
  3. Step 3: Cross multiply
    288.56x = 432.72 × 192.98
  4. Step 4: Simplify right side
    288.56x = 83,506.31
  5. Step 5: Solve for x
    x = 83,506.31/288.56
  6. Step 6: Final answer
    x = 289.39

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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.