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Finding the Fourth Proportional to 458.03, 631.92 and 261.50

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Solution

The fourth proportional to 458.03, 631.92 and 261.50 is: 360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.03 : 631.92 = 261.50 : x
  2. Step 2: Convert to fraction form
    458.03/631.92 = 261.50/x
  3. Step 3: Cross multiply
    458.03x = 631.92 × 261.50
  4. Step 4: Simplify right side
    458.03x = 165,243.92
  5. Step 5: Solve for x
    x = 165,243.92/458.03
  6. Step 6: Final answer
    x = 360.77

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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.