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Finding the Fourth Proportional to 458.58, 632.58 and 281.46

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Solution

The fourth proportional to 458.58, 632.58 and 281.46 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.58 : 632.58 = 281.46 : x
  2. Step 2: Convert to fraction form
    458.58/632.58 = 281.46/x
  3. Step 3: Cross multiply
    458.58x = 632.58 × 281.46
  4. Step 4: Simplify right side
    458.58x = 178,045.97
  5. Step 5: Solve for x
    x = 178,045.97/458.58
  6. Step 6: Final answer
    x = 388.25

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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.