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Finding the Fourth Proportional to 313.53, 434.67 and 306.24

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Solution

The fourth proportional to 313.53, 434.67 and 306.24 is: 424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 434.67 = 306.24 : x
  2. Step 2: Convert to fraction form
    313.53/434.67 = 306.24/x
  3. Step 3: Cross multiply
    313.53x = 434.67 × 306.24
  4. Step 4: Simplify right side
    313.53x = 133,113.34
  5. Step 5: Solve for x
    x = 133,113.34/313.53
  6. Step 6: Final answer
    x = 424.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.