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Finding the Fourth Proportional to 288.22, 432.08 and 114.83

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Solution

The fourth proportional to 288.22, 432.08 and 114.83 is: 172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.22 : 432.08 = 114.83 : x
  2. Step 2: Convert to fraction form
    288.22/432.08 = 114.83/x
  3. Step 3: Cross multiply
    288.22x = 432.08 × 114.83
  4. Step 4: Simplify right side
    288.22x = 49,615.17
  5. Step 5: Solve for x
    x = 49,615.17/288.22
  6. Step 6: Final answer
    x = 172.15

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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.