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Finding the Fourth Proportional to 387.97, 582.30 and 346.77

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Solution

The fourth proportional to 387.97, 582.30 and 346.77 is: 520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.97 : 582.30 = 346.77 : x
  2. Step 2: Convert to fraction form
    387.97/582.30 = 346.77/x
  3. Step 3: Cross multiply
    387.97x = 582.30 × 346.77
  4. Step 4: Simplify right side
    387.97x = 201,924.17
  5. Step 5: Solve for x
    x = 201,924.17/387.97
  6. Step 6: Final answer
    x = 520.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.