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Finding the Fourth Proportional to 305.16, 459.42 and 247.92

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Solution

The fourth proportional to 305.16, 459.42 and 247.92 is: 373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 459.42 = 247.92 : x
  2. Step 2: Convert to fraction form
    305.16/459.42 = 247.92/x
  3. Step 3: Cross multiply
    305.16x = 459.42 × 247.92
  4. Step 4: Simplify right side
    305.16x = 113,899.41
  5. Step 5: Solve for x
    x = 113,899.41/305.16
  6. Step 6: Final answer
    x = 373.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.