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Finding the Fourth Proportional to 360.11, 495.92 and 313.40

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Solution

The fourth proportional to 360.11, 495.92 and 313.40 is: 431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.11 : 495.92 = 313.40 : x
  2. Step 2: Convert to fraction form
    360.11/495.92 = 313.40/x
  3. Step 3: Cross multiply
    360.11x = 495.92 × 313.40
  4. Step 4: Simplify right side
    360.11x = 155,423.35
  5. Step 5: Solve for x
    x = 155,423.35/360.11
  6. Step 6: Final answer
    x = 431.60

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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.