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Finding the Fourth Proportional to 313.62, 468.35 and 310.23

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Solution

The fourth proportional to 313.62, 468.35 and 310.23 is: 463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 468.35 = 310.23 : x
  2. Step 2: Convert to fraction form
    313.62/468.35 = 310.23/x
  3. Step 3: Cross multiply
    313.62x = 468.35 × 310.23
  4. Step 4: Simplify right side
    313.62x = 145,294.67
  5. Step 5: Solve for x
    x = 145,294.67/313.62
  6. Step 6: Final answer
    x = 463.28

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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.