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Finding the Fourth Proportional to 288.38, 432.57 and 105.77

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Solution

The fourth proportional to 288.38, 432.57 and 105.77 is: 158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.38 : 432.57 = 105.77 : x
  2. Step 2: Convert to fraction form
    288.38/432.57 = 105.77/x
  3. Step 3: Cross multiply
    288.38x = 432.57 × 105.77
  4. Step 4: Simplify right side
    288.38x = 45,754.41
  5. Step 5: Solve for x
    x = 45,754.41/288.38
  6. Step 6: Final answer
    x = 158.66

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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.