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Finding the Fourth Proportional to 384.82, 530.78 and 237.54

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Solution

The fourth proportional to 384.82, 530.78 and 237.54 is: 327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.82 : 530.78 = 237.54 : x
  2. Step 2: Convert to fraction form
    384.82/530.78 = 237.54/x
  3. Step 3: Cross multiply
    384.82x = 530.78 × 237.54
  4. Step 4: Simplify right side
    384.82x = 126,082.08
  5. Step 5: Solve for x
    x = 126,082.08/384.82
  6. Step 6: Final answer
    x = 327.64

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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.