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Finding the Fourth Proportional to 384.69, 530.89 and 218.93

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Solution

The fourth proportional to 384.69, 530.89 and 218.93 is: 302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.69 : 530.89 = 218.93 : x
  2. Step 2: Convert to fraction form
    384.69/530.89 = 218.93/x
  3. Step 3: Cross multiply
    384.69x = 530.89 × 218.93
  4. Step 4: Simplify right side
    384.69x = 116,226.65
  5. Step 5: Solve for x
    x = 116,226.65/384.69
  6. Step 6: Final answer
    x = 302.13

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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.