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Finding the Fourth Proportional to 383.91, 530.34 and 305.74

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Solution

The fourth proportional to 383.91, 530.34 and 305.74 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.91 : 530.34 = 305.74 : x
  2. Step 2: Convert to fraction form
    383.91/530.34 = 305.74/x
  3. Step 3: Cross multiply
    383.91x = 530.34 × 305.74
  4. Step 4: Simplify right side
    383.91x = 162,146.15
  5. Step 5: Solve for x
    x = 162,146.15/383.91
  6. Step 6: Final answer
    x = 422.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.