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Finding the Fourth Proportional to 386.74, 576.99 and 384.01

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Solution

The fourth proportional to 386.74, 576.99 and 384.01 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.74 : 576.99 = 384.01 : x
  2. Step 2: Convert to fraction form
    386.74/576.99 = 384.01/x
  3. Step 3: Cross multiply
    386.74x = 576.99 × 384.01
  4. Step 4: Simplify right side
    386.74x = 221,568.49
  5. Step 5: Solve for x
    x = 221,568.49/386.74
  6. Step 6: Final answer
    x = 572.91

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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.