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Finding the Fourth Proportional to 458.05, 631.80 and 292.47

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Solution

The fourth proportional to 458.05, 631.80 and 292.47 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.05 : 631.80 = 292.47 : x
  2. Step 2: Convert to fraction form
    458.05/631.80 = 292.47/x
  3. Step 3: Cross multiply
    458.05x = 631.80 × 292.47
  4. Step 4: Simplify right side
    458.05x = 184,784.86
  5. Step 5: Solve for x
    x = 184,784.86/458.05
  6. Step 6: Final answer
    x = 403.42

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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.