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Finding the Fourth Proportional to 305.87, 458.98 and 303.40

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Solution

The fourth proportional to 305.87, 458.98 and 303.40 is: 455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 458.98 = 303.40 : x
  2. Step 2: Convert to fraction form
    305.87/458.98 = 303.40/x
  3. Step 3: Cross multiply
    305.87x = 458.98 × 303.40
  4. Step 4: Simplify right side
    305.87x = 139,252.24
  5. Step 5: Solve for x
    x = 139,252.24/305.87
  6. Step 6: Final answer
    x = 455.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.