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Finding the Fourth Proportional to 288.11, 432.20 and 114.77

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Solution

The fourth proportional to 288.11, 432.20 and 114.77 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.11 : 432.20 = 114.77 : x
  2. Step 2: Convert to fraction form
    288.11/432.20 = 114.77/x
  3. Step 3: Cross multiply
    288.11x = 432.20 × 114.77
  4. Step 4: Simplify right side
    288.11x = 49,603.59
  5. Step 5: Solve for x
    x = 49,603.59/288.11
  6. Step 6: Final answer
    x = 172.17

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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.