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Finding the Fourth Proportional to 384.37, 530.42 and 209.71

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Solution

The fourth proportional to 384.37, 530.42 and 209.71 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.37 : 530.42 = 209.71 : x
  2. Step 2: Convert to fraction form
    384.37/530.42 = 209.71/x
  3. Step 3: Cross multiply
    384.37x = 530.42 × 209.71
  4. Step 4: Simplify right side
    384.37x = 111,230.68
  5. Step 5: Solve for x
    x = 111,230.68/384.37
  6. Step 6: Final answer
    x = 289.39

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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.