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Finding the Fourth Proportional to 384.12, 530.22 and 318.60

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Solution

The fourth proportional to 384.12, 530.22 and 318.60 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 530.22 = 318.60 : x
  2. Step 2: Convert to fraction form
    384.12/530.22 = 318.60/x
  3. Step 3: Cross multiply
    384.12x = 530.22 × 318.60
  4. Step 4: Simplify right side
    384.12x = 168,928.09
  5. Step 5: Solve for x
    x = 168,928.09/384.12
  6. Step 6: Final answer
    x = 439.78

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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.