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Finding the Fourth Proportional to 495.06, 741.27 and 321.23

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Solution

The fourth proportional to 495.06, 741.27 and 321.23 is: 480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.06 : 741.27 = 321.23 : x
  2. Step 2: Convert to fraction form
    495.06/741.27 = 321.23/x
  3. Step 3: Cross multiply
    495.06x = 741.27 × 321.23
  4. Step 4: Simplify right side
    495.06x = 238,118.16
  5. Step 5: Solve for x
    x = 238,118.16/495.06
  6. Step 6: Final answer
    x = 480.99

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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.