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Finding the Fourth Proportional to 305.66, 456.29 and 292.37

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Solution

The fourth proportional to 305.66, 456.29 and 292.37 is: 436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.66 : 456.29 = 292.37 : x
  2. Step 2: Convert to fraction form
    305.66/456.29 = 292.37/x
  3. Step 3: Cross multiply
    305.66x = 456.29 × 292.37
  4. Step 4: Simplify right side
    305.66x = 133,403.23
  5. Step 5: Solve for x
    x = 133,403.23/305.66
  6. Step 6: Final answer
    x = 436.44

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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.