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Finding the Fourth Proportional to 240.44, 358.15 and 214.52

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Solution

The fourth proportional to 240.44, 358.15 and 214.52 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.44 : 358.15 = 214.52 : x
  2. Step 2: Convert to fraction form
    240.44/358.15 = 214.52/x
  3. Step 3: Cross multiply
    240.44x = 358.15 × 214.52
  4. Step 4: Simplify right side
    240.44x = 76,830.34
  5. Step 5: Solve for x
    x = 76,830.34/240.44
  6. Step 6: Final answer
    x = 319.54

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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.