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Finding the Fourth Proportional to 458.98, 688.46 and 276.23

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Solution

The fourth proportional to 458.98, 688.46 and 276.23 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.98 : 688.46 = 276.23 : x
  2. Step 2: Convert to fraction form
    458.98/688.46 = 276.23/x
  3. Step 3: Cross multiply
    458.98x = 688.46 × 276.23
  4. Step 4: Simplify right side
    458.98x = 190,173.65
  5. Step 5: Solve for x
    x = 190,173.65/458.98
  6. Step 6: Final answer
    x = 414.34

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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.