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Finding the Fourth Proportional to 366.29, 551.93 and 302.70

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Solution

The fourth proportional to 366.29, 551.93 and 302.70 is: 456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.29 : 551.93 = 302.70 : x
  2. Step 2: Convert to fraction form
    366.29/551.93 = 302.70/x
  3. Step 3: Cross multiply
    366.29x = 551.93 × 302.70
  4. Step 4: Simplify right side
    366.29x = 167,067.70
  5. Step 5: Solve for x
    x = 167,067.70/366.29
  6. Step 6: Final answer
    x = 456.11

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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.