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Finding the Fourth Proportional to 384.54, 530.66 and 218.76

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Solution

The fourth proportional to 384.54, 530.66 and 218.76 is: 301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 530.66 = 218.76 : x
  2. Step 2: Convert to fraction form
    384.54/530.66 = 218.76/x
  3. Step 3: Cross multiply
    384.54x = 530.66 × 218.76
  4. Step 4: Simplify right side
    384.54x = 116,085.74
  5. Step 5: Solve for x
    x = 116,085.74/384.54
  6. Step 6: Final answer
    x = 301.89

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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.