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Finding the Fourth Proportional to 458.68, 632.82 and 303.16

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Solution

The fourth proportional to 458.68, 632.82 and 303.16 is: 418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.68 : 632.82 = 303.16 : x
  2. Step 2: Convert to fraction form
    458.68/632.82 = 303.16/x
  3. Step 3: Cross multiply
    458.68x = 632.82 × 303.16
  4. Step 4: Simplify right side
    458.68x = 191,845.71
  5. Step 5: Solve for x
    x = 191,845.71/458.68
  6. Step 6: Final answer
    x = 418.26

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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.