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Finding the Fourth Proportional to 242.99, 362.72 and 213.80

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Solution

The fourth proportional to 242.99, 362.72 and 213.80 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.99 : 362.72 = 213.80 : x
  2. Step 2: Convert to fraction form
    242.99/362.72 = 213.80/x
  3. Step 3: Cross multiply
    242.99x = 362.72 × 213.80
  4. Step 4: Simplify right side
    242.99x = 77,550.98
  5. Step 5: Solve for x
    x = 77,550.98/242.99
  6. Step 6: Final answer
    x = 319.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.