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Finding the Fourth Proportional to 388.32, 579.60 and 339.84

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Solution

The fourth proportional to 388.32, 579.60 and 339.84 is: 507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.32 : 579.60 = 339.84 : x
  2. Step 2: Convert to fraction form
    388.32/579.60 = 339.84/x
  3. Step 3: Cross multiply
    388.32x = 579.60 × 339.84
  4. Step 4: Simplify right side
    388.32x = 196,971.26
  5. Step 5: Solve for x
    x = 196,971.26/388.32
  6. Step 6: Final answer
    x = 507.24

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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.