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Finding the Fourth Proportional to 288.07, 431.93 and 114.76

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Solution

The fourth proportional to 288.07, 431.93 and 114.76 is: 172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.07 : 431.93 = 114.76 : x
  2. Step 2: Convert to fraction form
    288.07/431.93 = 114.76/x
  3. Step 3: Cross multiply
    288.07x = 431.93 × 114.76
  4. Step 4: Simplify right side
    288.07x = 49,567.78
  5. Step 5: Solve for x
    x = 49,567.78/288.07
  6. Step 6: Final answer
    x = 172.07

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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.