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Finding the Fourth Proportional to 288.72, 432.18 and 166.86

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Solution

The fourth proportional to 288.72, 432.18 and 166.86 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.72 : 432.18 = 166.86 : x
  2. Step 2: Convert to fraction form
    288.72/432.18 = 166.86/x
  3. Step 3: Cross multiply
    288.72x = 432.18 × 166.86
  4. Step 4: Simplify right side
    288.72x = 72,113.55
  5. Step 5: Solve for x
    x = 72,113.55/288.72
  6. Step 6: Final answer
    x = 249.77

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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.