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Finding the Fourth Proportional to 390, 582.06 and 386.16

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Solution

The fourth proportional to 390, 582.06 and 386.16 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390 : 582.06 = 386.16 : x
  2. Step 2: Convert to fraction form
    390/582.06 = 386.16/x
  3. Step 3: Cross multiply
    390x = 582.06 × 386.16
  4. Step 4: Simplify right side
    390x = 224,768.29
  5. Step 5: Solve for x
    x = 224,768.29/390
  6. Step 6: Final answer
    x = 576.33

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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.