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Finding the Fourth Proportional to 458.52, 688.14 and 215.12

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Solution

The fourth proportional to 458.52, 688.14 and 215.12 is: 322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.52 : 688.14 = 215.12 : x
  2. Step 2: Convert to fraction form
    458.52/688.14 = 215.12/x
  3. Step 3: Cross multiply
    458.52x = 688.14 × 215.12
  4. Step 4: Simplify right side
    458.52x = 148,029.24
  5. Step 5: Solve for x
    x = 148,029.24/458.52
  6. Step 6: Final answer
    x = 322.84

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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.