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Finding the Fourth Proportional to 309.18, 463.90 and 213.14

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Solution

The fourth proportional to 309.18, 463.90 and 213.14 is: 319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.18 : 463.90 = 213.14 : x
  2. Step 2: Convert to fraction form
    309.18/463.90 = 213.14/x
  3. Step 3: Cross multiply
    309.18x = 463.90 × 213.14
  4. Step 4: Simplify right side
    309.18x = 98,875.65
  5. Step 5: Solve for x
    x = 98,875.65/309.18
  6. Step 6: Final answer
    x = 319.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.