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Finding the Fourth Proportional to 314.48, 434.05 and 214.85

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Solution

The fourth proportional to 314.48, 434.05 and 214.85 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.48 : 434.05 = 214.85 : x
  2. Step 2: Convert to fraction form
    314.48/434.05 = 214.85/x
  3. Step 3: Cross multiply
    314.48x = 434.05 × 214.85
  4. Step 4: Simplify right side
    314.48x = 93,252.94
  5. Step 5: Solve for x
    x = 93,252.94/314.48
  6. Step 6: Final answer
    x = 296.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.