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Finding the Fourth Proportional to 288.31, 432.21 and 105.66

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Solution

The fourth proportional to 288.31, 432.21 and 105.66 is: 158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.31 : 432.21 = 105.66 : x
  2. Step 2: Convert to fraction form
    288.31/432.21 = 105.66/x
  3. Step 3: Cross multiply
    288.31x = 432.21 × 105.66
  4. Step 4: Simplify right side
    288.31x = 45,666.70
  5. Step 5: Solve for x
    x = 45,666.70/288.31
  6. Step 6: Final answer
    x = 158.40

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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.