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Finding the Fourth Proportional to 242.18, 364.64 and 213.47

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Solution

The fourth proportional to 242.18, 364.64 and 213.47 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.18 : 364.64 = 213.47 : x
  2. Step 2: Convert to fraction form
    242.18/364.64 = 213.47/x
  3. Step 3: Cross multiply
    242.18x = 364.64 × 213.47
  4. Step 4: Simplify right side
    242.18x = 77,840.63
  5. Step 5: Solve for x
    x = 77,840.63/242.18
  6. Step 6: Final answer
    x = 321.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.