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Finding the Fourth Proportional to 384.74, 530.94 and 218.92

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Solution

The fourth proportional to 384.74, 530.94 and 218.92 is: 302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.74 : 530.94 = 218.92 : x
  2. Step 2: Convert to fraction form
    384.74/530.94 = 218.92/x
  3. Step 3: Cross multiply
    384.74x = 530.94 × 218.92
  4. Step 4: Simplify right side
    384.74x = 116,233.38
  5. Step 5: Solve for x
    x = 116,233.38/384.74
  6. Step 6: Final answer
    x = 302.11

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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.