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Finding the Fourth Proportional to 458.27, 632.25 and 292.56

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Solution

The fourth proportional to 458.27, 632.25 and 292.56 is: 403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.27 : 632.25 = 292.56 : x
  2. Step 2: Convert to fraction form
    458.27/632.25 = 292.56/x
  3. Step 3: Cross multiply
    458.27x = 632.25 × 292.56
  4. Step 4: Simplify right side
    458.27x = 184,971.06
  5. Step 5: Solve for x
    x = 184,971.06/458.27
  6. Step 6: Final answer
    x = 403.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.