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Finding the Fourth Proportional to 458.87, 632.98 and 301.76

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Solution

The fourth proportional to 458.87, 632.98 and 301.76 is: 416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.87 : 632.98 = 301.76 : x
  2. Step 2: Convert to fraction form
    458.87/632.98 = 301.76/x
  3. Step 3: Cross multiply
    458.87x = 632.98 × 301.76
  4. Step 4: Simplify right side
    458.87x = 191,007.63
  5. Step 5: Solve for x
    x = 191,007.63/458.87
  6. Step 6: Final answer
    x = 416.26

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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.