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Finding the Fourth Proportional to 383.68, 530.64 and 331.28

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Solution

The fourth proportional to 383.68, 530.64 and 331.28 is: 458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.68 : 530.64 = 331.28 : x
  2. Step 2: Convert to fraction form
    383.68/530.64 = 331.28/x
  3. Step 3: Cross multiply
    383.68x = 530.64 × 331.28
  4. Step 4: Simplify right side
    383.68x = 175,790.42
  5. Step 5: Solve for x
    x = 175,790.42/383.68
  6. Step 6: Final answer
    x = 458.17

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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.