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Finding the Fourth Proportional to 313.05, 469.68 and 285.92

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Solution

The fourth proportional to 313.05, 469.68 and 285.92 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 469.68 = 285.92 : x
  2. Step 2: Convert to fraction form
    313.05/469.68 = 285.92/x
  3. Step 3: Cross multiply
    313.05x = 469.68 × 285.92
  4. Step 4: Simplify right side
    313.05x = 134,290.91
  5. Step 5: Solve for x
    x = 134,290.91/313.05
  6. Step 6: Final answer
    x = 428.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.