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Finding the Fourth Proportional to 305.82, 456.57 and 302.76

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Solution

The fourth proportional to 305.82, 456.57 and 302.76 is: 452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.82 : 456.57 = 302.76 : x
  2. Step 2: Convert to fraction form
    305.82/456.57 = 302.76/x
  3. Step 3: Cross multiply
    305.82x = 456.57 × 302.76
  4. Step 4: Simplify right side
    305.82x = 138,231.13
  5. Step 5: Solve for x
    x = 138,231.13/305.82
  6. Step 6: Final answer
    x = 452.00

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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.