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Finding the Fourth Proportional to 406.08, 612.72 and 388.32

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Solution

The fourth proportional to 406.08, 612.72 and 388.32 is: 585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.08 : 612.72 = 388.32 : x
  2. Step 2: Convert to fraction form
    406.08/612.72 = 388.32/x
  3. Step 3: Cross multiply
    406.08x = 612.72 × 388.32
  4. Step 4: Simplify right side
    406.08x = 237,931.43
  5. Step 5: Solve for x
    x = 237,931.43/406.08
  6. Step 6: Final answer
    x = 585.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.