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Finding the Fourth Proportional to 458.91, 633.42 and 284.22

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Solution

The fourth proportional to 458.91, 633.42 and 284.22 is: 392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 633.42 = 284.22 : x
  2. Step 2: Convert to fraction form
    458.91/633.42 = 284.22/x
  3. Step 3: Cross multiply
    458.91x = 633.42 × 284.22
  4. Step 4: Simplify right side
    458.91x = 180,030.63
  5. Step 5: Solve for x
    x = 180,030.63/458.91
  6. Step 6: Final answer
    x = 392.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.