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Finding the Fourth Proportional to 458.69, 688.41 and 184.77

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Solution

The fourth proportional to 458.69, 688.41 and 184.77 is: 277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.69 : 688.41 = 184.77 : x
  2. Step 2: Convert to fraction form
    458.69/688.41 = 184.77/x
  3. Step 3: Cross multiply
    458.69x = 688.41 × 184.77
  4. Step 4: Simplify right side
    458.69x = 127,197.52
  5. Step 5: Solve for x
    x = 127,197.52/458.69
  6. Step 6: Final answer
    x = 277.31

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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.