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Finding the Fourth Proportional to 384.72, 530.33 and 237.09

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Solution

The fourth proportional to 384.72, 530.33 and 237.09 is: 326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 530.33 = 237.09 : x
  2. Step 2: Convert to fraction form
    384.72/530.33 = 237.09/x
  3. Step 3: Cross multiply
    384.72x = 530.33 × 237.09
  4. Step 4: Simplify right side
    384.72x = 125,738.08
  5. Step 5: Solve for x
    x = 125,738.08/384.72
  6. Step 6: Final answer
    x = 326.83

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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.