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Finding the Fourth Proportional to 458.19, 632.32 and 251.19

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Solution

The fourth proportional to 458.19, 632.32 and 251.19 is: 346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.19 : 632.32 = 251.19 : x
  2. Step 2: Convert to fraction form
    458.19/632.32 = 251.19/x
  3. Step 3: Cross multiply
    458.19x = 632.32 × 251.19
  4. Step 4: Simplify right side
    458.19x = 158,832.46
  5. Step 5: Solve for x
    x = 158,832.46/458.19
  6. Step 6: Final answer
    x = 346.65

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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.