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Finding the Fourth Proportional to 369.68, 555.38 and 310.14

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Solution

The fourth proportional to 369.68, 555.38 and 310.14 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.68 : 555.38 = 310.14 : x
  2. Step 2: Convert to fraction form
    369.68/555.38 = 310.14/x
  3. Step 3: Cross multiply
    369.68x = 555.38 × 310.14
  4. Step 4: Simplify right side
    369.68x = 172,245.55
  5. Step 5: Solve for x
    x = 172,245.55/369.68
  6. Step 6: Final answer
    x = 465.93

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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.