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Finding the Fourth Proportional to 458.30, 631.95 and 292.25

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Solution

The fourth proportional to 458.30, 631.95 and 292.25 is: 402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.30 : 631.95 = 292.25 : x
  2. Step 2: Convert to fraction form
    458.30/631.95 = 292.25/x
  3. Step 3: Cross multiply
    458.30x = 631.95 × 292.25
  4. Step 4: Simplify right side
    458.30x = 184,687.39
  5. Step 5: Solve for x
    x = 184,687.39/458.30
  6. Step 6: Final answer
    x = 402.98

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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.