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Finding the Fourth Proportional to 313.52, 468.30 and 264.92

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Solution

The fourth proportional to 313.52, 468.30 and 264.92 is: 395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 468.30 = 264.92 : x
  2. Step 2: Convert to fraction form
    313.52/468.30 = 264.92/x
  3. Step 3: Cross multiply
    313.52x = 468.30 × 264.92
  4. Step 4: Simplify right side
    313.52x = 124,062.04
  5. Step 5: Solve for x
    x = 124,062.04/313.52
  6. Step 6: Final answer
    x = 395.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.