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Finding the Fourth Proportional to 458.66, 687.99 and 215.30

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Solution

The fourth proportional to 458.66, 687.99 and 215.30 is: 322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.66 : 687.99 = 215.30 : x
  2. Step 2: Convert to fraction form
    458.66/687.99 = 215.30/x
  3. Step 3: Cross multiply
    458.66x = 687.99 × 215.30
  4. Step 4: Simplify right side
    458.66x = 148,124.25
  5. Step 5: Solve for x
    x = 148,124.25/458.66
  6. Step 6: Final answer
    x = 322.95

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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.