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Finding the Fourth Proportional to 386.99, 534.07 and 218.98

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Solution

The fourth proportional to 386.99, 534.07 and 218.98 is: 302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.99 : 534.07 = 218.98 : x
  2. Step 2: Convert to fraction form
    386.99/534.07 = 218.98/x
  3. Step 3: Cross multiply
    386.99x = 534.07 × 218.98
  4. Step 4: Simplify right side
    386.99x = 116,950.65
  5. Step 5: Solve for x
    x = 116,950.65/386.99
  6. Step 6: Final answer
    x = 302.21

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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.