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Finding the Fourth Proportional to 458.66, 688.91 and 276.42

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Solution

The fourth proportional to 458.66, 688.91 and 276.42 is: 415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.66 : 688.91 = 276.42 : x
  2. Step 2: Convert to fraction form
    458.66/688.91 = 276.42/x
  3. Step 3: Cross multiply
    458.66x = 688.91 × 276.42
  4. Step 4: Simplify right side
    458.66x = 190,428.50
  5. Step 5: Solve for x
    x = 190,428.50/458.66
  6. Step 6: Final answer
    x = 415.18

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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.