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Finding the Fourth Proportional to 458.89, 688.20 and 215.26

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Solution

The fourth proportional to 458.89, 688.20 and 215.26 is: 322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.89 : 688.20 = 215.26 : x
  2. Step 2: Convert to fraction form
    458.89/688.20 = 215.26/x
  3. Step 3: Cross multiply
    458.89x = 688.20 × 215.26
  4. Step 4: Simplify right side
    458.89x = 148,141.93
  5. Step 5: Solve for x
    x = 148,141.93/458.89
  6. Step 6: Final answer
    x = 322.83

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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.