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Finding the Fourth Proportional to 384.75, 530.96 and 210.09

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Solution

The fourth proportional to 384.75, 530.96 and 210.09 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 530.96 = 210.09 : x
  2. Step 2: Convert to fraction form
    384.75/530.96 = 210.09/x
  3. Step 3: Cross multiply
    384.75x = 530.96 × 210.09
  4. Step 4: Simplify right side
    384.75x = 111,550.33
  5. Step 5: Solve for x
    x = 111,550.33/384.75
  6. Step 6: Final answer
    x = 289.93

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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.