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Finding the Fourth Proportional to 366.54, 552.31 and 302.95

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Solution

The fourth proportional to 366.54, 552.31 and 302.95 is: 456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.54 : 552.31 = 302.95 : x
  2. Step 2: Convert to fraction form
    366.54/552.31 = 302.95/x
  3. Step 3: Cross multiply
    366.54x = 552.31 × 302.95
  4. Step 4: Simplify right side
    366.54x = 167,322.31
  5. Step 5: Solve for x
    x = 167,322.31/366.54
  6. Step 6: Final answer
    x = 456.49

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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.