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Finding the Fourth Proportional to 383.98, 530.20 and 236.70

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Solution

The fourth proportional to 383.98, 530.20 and 236.70 is: 326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.98 : 530.20 = 236.70 : x
  2. Step 2: Convert to fraction form
    383.98/530.20 = 236.70/x
  3. Step 3: Cross multiply
    383.98x = 530.20 × 236.70
  4. Step 4: Simplify right side
    383.98x = 125,498.34
  5. Step 5: Solve for x
    x = 125,498.34/383.98
  6. Step 6: Final answer
    x = 326.84

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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.