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Finding the Fourth Proportional to 313.18, 429.87 and 299.81

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Solution

The fourth proportional to 313.18, 429.87 and 299.81 is: 411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.18 : 429.87 = 299.81 : x
  2. Step 2: Convert to fraction form
    313.18/429.87 = 299.81/x
  3. Step 3: Cross multiply
    313.18x = 429.87 × 299.81
  4. Step 4: Simplify right side
    313.18x = 128,877.83
  5. Step 5: Solve for x
    x = 128,877.83/313.18
  6. Step 6: Final answer
    x = 411.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.