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Finding the Fourth Proportional to 305.19, 455.57 and 282.63

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Solution

The fourth proportional to 305.19, 455.57 and 282.63 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.19 : 455.57 = 282.63 : x
  2. Step 2: Convert to fraction form
    305.19/455.57 = 282.63/x
  3. Step 3: Cross multiply
    305.19x = 455.57 × 282.63
  4. Step 4: Simplify right side
    305.19x = 128,757.75
  5. Step 5: Solve for x
    x = 128,757.75/305.19
  6. Step 6: Final answer
    x = 421.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.