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Finding the Fourth Proportional to 242.74, 362.21 and 213.58

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Solution

The fourth proportional to 242.74, 362.21 and 213.58 is: 318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.74 : 362.21 = 213.58 : x
  2. Step 2: Convert to fraction form
    242.74/362.21 = 213.58/x
  3. Step 3: Cross multiply
    242.74x = 362.21 × 213.58
  4. Step 4: Simplify right side
    242.74x = 77,360.81
  5. Step 5: Solve for x
    x = 77,360.81/242.74
  6. Step 6: Final answer
    x = 318.70

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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.