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Finding the Fourth Proportional to 386.19, 581.39 and 346.50

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Solution

The fourth proportional to 386.19, 581.39 and 346.50 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.19 : 581.39 = 346.50 : x
  2. Step 2: Convert to fraction form
    386.19/581.39 = 346.50/x
  3. Step 3: Cross multiply
    386.19x = 581.39 × 346.50
  4. Step 4: Simplify right side
    386.19x = 201,451.20
  5. Step 5: Solve for x
    x = 201,451.20/386.19
  6. Step 6: Final answer
    x = 521.64

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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.