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Finding the Fourth Proportional to 242.70, 364.30 and 151.46

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Solution

The fourth proportional to 242.70, 364.30 and 151.46 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.70 : 364.30 = 151.46 : x
  2. Step 2: Convert to fraction form
    242.70/364.30 = 151.46/x
  3. Step 3: Cross multiply
    242.70x = 364.30 × 151.46
  4. Step 4: Simplify right side
    242.70x = 55,175.06
  5. Step 5: Solve for x
    x = 55,175.06/242.70
  6. Step 6: Final answer
    x = 227.34

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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.