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Finding the Fourth Proportional to 458.64, 632.94 and 251.64

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Solution

The fourth proportional to 458.64, 632.94 and 251.64 is: 347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 632.94 = 251.64 : x
  2. Step 2: Convert to fraction form
    458.64/632.94 = 251.64/x
  3. Step 3: Cross multiply
    458.64x = 632.94 × 251.64
  4. Step 4: Simplify right side
    458.64x = 159,273.02
  5. Step 5: Solve for x
    x = 159,273.02/458.64
  6. Step 6: Final answer
    x = 347.27

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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.