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Finding the Fourth Proportional to 369.29, 556.45 and 305.71

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Solution

The fourth proportional to 369.29, 556.45 and 305.71 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.29 : 556.45 = 305.71 : x
  2. Step 2: Convert to fraction form
    369.29/556.45 = 305.71/x
  3. Step 3: Cross multiply
    369.29x = 556.45 × 305.71
  4. Step 4: Simplify right side
    369.29x = 170,110.17
  5. Step 5: Solve for x
    x = 170,110.17/369.29
  6. Step 6: Final answer
    x = 460.64

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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.