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Finding the Fourth Proportional to 384.08, 530.03 and 209.43

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Solution

The fourth proportional to 384.08, 530.03 and 209.43 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 530.03 = 209.43 : x
  2. Step 2: Convert to fraction form
    384.08/530.03 = 209.43/x
  3. Step 3: Cross multiply
    384.08x = 530.03 × 209.43
  4. Step 4: Simplify right side
    384.08x = 111,004.18
  5. Step 5: Solve for x
    x = 111,004.18/384.08
  6. Step 6: Final answer
    x = 289.01

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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.