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Finding the Fourth Proportional to 388.86, 579.80 and 384.06

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Solution

The fourth proportional to 388.86, 579.80 and 384.06 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.86 : 579.80 = 384.06 : x
  2. Step 2: Convert to fraction form
    388.86/579.80 = 384.06/x
  3. Step 3: Cross multiply
    388.86x = 579.80 × 384.06
  4. Step 4: Simplify right side
    388.86x = 222,675.09
  5. Step 5: Solve for x
    x = 222,675.09/388.86
  6. Step 6: Final answer
    x = 572.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.