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Finding the Fourth Proportional to 369.76, 555.12 and 338.08

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Solution

The fourth proportional to 369.76, 555.12 and 338.08 is: 507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.76 : 555.12 = 338.08 : x
  2. Step 2: Convert to fraction form
    369.76/555.12 = 338.08/x
  3. Step 3: Cross multiply
    369.76x = 555.12 × 338.08
  4. Step 4: Simplify right side
    369.76x = 187,674.97
  5. Step 5: Solve for x
    x = 187,674.97/369.76
  6. Step 6: Final answer
    x = 507.56

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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.