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Finding the Fourth Proportional to 369.77, 555.80 and 233.69

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Solution

The fourth proportional to 369.77, 555.80 and 233.69 is: 351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.77 : 555.80 = 233.69 : x
  2. Step 2: Convert to fraction form
    369.77/555.80 = 233.69/x
  3. Step 3: Cross multiply
    369.77x = 555.80 × 233.69
  4. Step 4: Simplify right side
    369.77x = 129,880.95
  5. Step 5: Solve for x
    x = 129,880.95/369.77
  6. Step 6: Final answer
    x = 351.25

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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.