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Finding the Fourth Proportional to 305.95, 456.40 and 283

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Solution

The fourth proportional to 305.95, 456.40 and 283 is: 422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.95 : 456.40 = 283 : x
  2. Step 2: Convert to fraction form
    305.95/456.40 = 283/x
  3. Step 3: Cross multiply
    305.95x = 456.40 × 283
  4. Step 4: Simplify right side
    305.95x = 129,161.20
  5. Step 5: Solve for x
    x = 129,161.20/305.95
  6. Step 6: Final answer
    x = 422.16

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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.