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Finding the Fourth Proportional to 242.34, 365.14 and 216.14

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Solution

The fourth proportional to 242.34, 365.14 and 216.14 is: 325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.34 : 365.14 = 216.14 : x
  2. Step 2: Convert to fraction form
    242.34/365.14 = 216.14/x
  3. Step 3: Cross multiply
    242.34x = 365.14 × 216.14
  4. Step 4: Simplify right side
    242.34x = 78,921.36
  5. Step 5: Solve for x
    x = 78,921.36/242.34
  6. Step 6: Final answer
    x = 325.66

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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.