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Finding the Fourth Proportional to 458.15, 632.25 and 283.50

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Solution

The fourth proportional to 458.15, 632.25 and 283.50 is: 391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.15 : 632.25 = 283.50 : x
  2. Step 2: Convert to fraction form
    458.15/632.25 = 283.50/x
  3. Step 3: Cross multiply
    458.15x = 632.25 × 283.50
  4. Step 4: Simplify right side
    458.15x = 179,242.88
  5. Step 5: Solve for x
    x = 179,242.88/458.15
  6. Step 6: Final answer
    x = 391.24

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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.