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Finding the Fourth Proportional to 369.72, 555.20 and 309.36

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Solution

The fourth proportional to 369.72, 555.20 and 309.36 is: 464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.72 : 555.20 = 309.36 : x
  2. Step 2: Convert to fraction form
    369.72/555.20 = 309.36/x
  3. Step 3: Cross multiply
    369.72x = 555.20 × 309.36
  4. Step 4: Simplify right side
    369.72x = 171,756.67
  5. Step 5: Solve for x
    x = 171,756.67/369.72
  6. Step 6: Final answer
    x = 464.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.