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Finding the Fourth Proportional to 387.50, 583.94 and 351.05

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Solution

The fourth proportional to 387.50, 583.94 and 351.05 is: 529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.50 : 583.94 = 351.05 : x
  2. Step 2: Convert to fraction form
    387.50/583.94 = 351.05/x
  3. Step 3: Cross multiply
    387.50x = 583.94 × 351.05
  4. Step 4: Simplify right side
    387.50x = 204,987.46
  5. Step 5: Solve for x
    x = 204,987.46/387.50
  6. Step 6: Final answer
    x = 529.01

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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.