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Finding the Fourth Proportional to 458.10, 687 and 214.38

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Solution

The fourth proportional to 458.10, 687 and 214.38 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 687 = 214.38 : x
  2. Step 2: Convert to fraction form
    458.10/687 = 214.38/x
  3. Step 3: Cross multiply
    458.10x = 687 × 214.38
  4. Step 4: Simplify right side
    458.10x = 147,279.06
  5. Step 5: Solve for x
    x = 147,279.06/458.10
  6. Step 6: Final answer
    x = 321.50

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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.