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Finding the Fourth Proportional to 245.24, 368.07 and 216.42

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Solution

The fourth proportional to 245.24, 368.07 and 216.42 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.24 : 368.07 = 216.42 : x
  2. Step 2: Convert to fraction form
    245.24/368.07 = 216.42/x
  3. Step 3: Cross multiply
    245.24x = 368.07 × 216.42
  4. Step 4: Simplify right side
    245.24x = 79,658.20
  5. Step 5: Solve for x
    x = 79,658.20/245.24
  6. Step 6: Final answer
    x = 324.82

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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.