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Finding the Fourth Proportional to 386.24, 576.94 and 277.16

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Solution

The fourth proportional to 386.24, 576.94 and 277.16 is: 414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 576.94 = 277.16 : x
  2. Step 2: Convert to fraction form
    386.24/576.94 = 277.16/x
  3. Step 3: Cross multiply
    386.24x = 576.94 × 277.16
  4. Step 4: Simplify right side
    386.24x = 159,904.69
  5. Step 5: Solve for x
    x = 159,904.69/386.24
  6. Step 6: Final answer
    x = 414.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.