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Finding the Fourth Proportional to 458.55, 632.07 and 360.14

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Solution

The fourth proportional to 458.55, 632.07 and 360.14 is: 496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.55 : 632.07 = 360.14 : x
  2. Step 2: Convert to fraction form
    458.55/632.07 = 360.14/x
  3. Step 3: Cross multiply
    458.55x = 632.07 × 360.14
  4. Step 4: Simplify right side
    458.55x = 227,630.53
  5. Step 5: Solve for x
    x = 227,630.53/458.55
  6. Step 6: Final answer
    x = 496.41

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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.