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Finding the Fourth Proportional to 387.24, 576.66 and 386.16

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Solution

The fourth proportional to 387.24, 576.66 and 386.16 is: 575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.24 : 576.66 = 386.16 : x
  2. Step 2: Convert to fraction form
    387.24/576.66 = 386.16/x
  3. Step 3: Cross multiply
    387.24x = 576.66 × 386.16
  4. Step 4: Simplify right side
    387.24x = 222,683.03
  5. Step 5: Solve for x
    x = 222,683.03/387.24
  6. Step 6: Final answer
    x = 575.05

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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.