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Finding the Fourth Proportional to 303.12, 456.95 and 283.95

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Solution

The fourth proportional to 303.12, 456.95 and 283.95 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.12 : 456.95 = 283.95 : x
  2. Step 2: Convert to fraction form
    303.12/456.95 = 283.95/x
  3. Step 3: Cross multiply
    303.12x = 456.95 × 283.95
  4. Step 4: Simplify right side
    303.12x = 129,751.66
  5. Step 5: Solve for x
    x = 129,751.66/303.12
  6. Step 6: Final answer
    x = 428.05

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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.