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Finding the Fourth Proportional to 388.74, 583.10 and 183.19

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Solution

The fourth proportional to 388.74, 583.10 and 183.19 is: 274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.74 : 583.10 = 183.19 : x
  2. Step 2: Convert to fraction form
    388.74/583.10 = 183.19/x
  3. Step 3: Cross multiply
    388.74x = 583.10 × 183.19
  4. Step 4: Simplify right side
    388.74x = 106,818.59
  5. Step 5: Solve for x
    x = 106,818.59/388.74
  6. Step 6: Final answer
    x = 274.78

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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.