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Finding the Fourth Proportional to 384.13, 530.09 and 209.47

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Solution

The fourth proportional to 384.13, 530.09 and 209.47 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.13 : 530.09 = 209.47 : x
  2. Step 2: Convert to fraction form
    384.13/530.09 = 209.47/x
  3. Step 3: Cross multiply
    384.13x = 530.09 × 209.47
  4. Step 4: Simplify right side
    384.13x = 111,037.95
  5. Step 5: Solve for x
    x = 111,037.95/384.13
  6. Step 6: Final answer
    x = 289.06

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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.