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Finding the Fourth Proportional to 384.53, 530.53 and 218.74

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Solution

The fourth proportional to 384.53, 530.53 and 218.74 is: 301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.53 : 530.53 = 218.74 : x
  2. Step 2: Convert to fraction form
    384.53/530.53 = 218.74/x
  3. Step 3: Cross multiply
    384.53x = 530.53 × 218.74
  4. Step 4: Simplify right side
    384.53x = 116,048.13
  5. Step 5: Solve for x
    x = 116,048.13/384.53
  6. Step 6: Final answer
    x = 301.79

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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.