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Finding the Fourth Proportional to 288.53, 432.74 and 83.06

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Solution

The fourth proportional to 288.53, 432.74 and 83.06 is: 124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.53 : 432.74 = 83.06 : x
  2. Step 2: Convert to fraction form
    288.53/432.74 = 83.06/x
  3. Step 3: Cross multiply
    288.53x = 432.74 × 83.06
  4. Step 4: Simplify right side
    288.53x = 35,944.05
  5. Step 5: Solve for x
    x = 35,944.05/288.53
  6. Step 6: Final answer
    x = 124.58

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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.