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Finding the Fourth Proportional to 495.12, 741.84 and 251.32

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Solution

The fourth proportional to 495.12, 741.84 and 251.32 is: 376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.12 : 741.84 = 251.32 : x
  2. Step 2: Convert to fraction form
    495.12/741.84 = 251.32/x
  3. Step 3: Cross multiply
    495.12x = 741.84 × 251.32
  4. Step 4: Simplify right side
    495.12x = 186,439.23
  5. Step 5: Solve for x
    x = 186,439.23/495.12
  6. Step 6: Final answer
    x = 376.55

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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.