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Finding the Fourth Proportional to 369.54, 556.44 and 305.16

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Solution

The fourth proportional to 369.54, 556.44 and 305.16 is: 459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.54 : 556.44 = 305.16 : x
  2. Step 2: Convert to fraction form
    369.54/556.44 = 305.16/x
  3. Step 3: Cross multiply
    369.54x = 556.44 × 305.16
  4. Step 4: Simplify right side
    369.54x = 169,803.23
  5. Step 5: Solve for x
    x = 169,803.23/369.54
  6. Step 6: Final answer
    x = 459.50

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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.