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Finding the Fourth Proportional to 458.66, 688.10 and 184.78

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Solution

The fourth proportional to 458.66, 688.10 and 184.78 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.66 : 688.10 = 184.78 : x
  2. Step 2: Convert to fraction form
    458.66/688.10 = 184.78/x
  3. Step 3: Cross multiply
    458.66x = 688.10 × 184.78
  4. Step 4: Simplify right side
    458.66x = 127,147.05
  5. Step 5: Solve for x
    x = 127,147.05/458.66
  6. Step 6: Final answer
    x = 277.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.