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Finding the Fourth Proportional to 384.05, 530.00 and 209.40

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Solution

The fourth proportional to 384.05, 530.00 and 209.40 is: 288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.05 : 530.00 = 209.40 : x
  2. Step 2: Convert to fraction form
    384.05/530.00 = 209.40/x
  3. Step 3: Cross multiply
    384.05x = 530.00 × 209.40
  4. Step 4: Simplify right side
    384.05x = 110,982.52
  5. Step 5: Solve for x
    x = 110,982.52/384.05
  6. Step 6: Final answer
    x = 288.98

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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.