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Finding the Fourth Proportional to 328.82, 495.73 and 311.18

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Solution

The fourth proportional to 328.82, 495.73 and 311.18 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.82 : 495.73 = 311.18 : x
  2. Step 2: Convert to fraction form
    328.82/495.73 = 311.18/x
  3. Step 3: Cross multiply
    328.82x = 495.73 × 311.18
  4. Step 4: Simplify right side
    328.82x = 154,259.71
  5. Step 5: Solve for x
    x = 154,259.71/328.82
  6. Step 6: Final answer
    x = 469.13

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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.