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Finding the Fourth Proportional to 388.64, 536.51 and 231.32

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Solution

The fourth proportional to 388.64, 536.51 and 231.32 is: 319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.64 : 536.51 = 231.32 : x
  2. Step 2: Convert to fraction form
    388.64/536.51 = 231.32/x
  3. Step 3: Cross multiply
    388.64x = 536.51 × 231.32
  4. Step 4: Simplify right side
    388.64x = 124,107.41
  5. Step 5: Solve for x
    x = 124,107.41/388.64
  6. Step 6: Final answer
    x = 319.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.