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Finding the Fourth Proportional to 387.19, 583.47 and 350.74

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Solution

The fourth proportional to 387.19, 583.47 and 350.74 is: 528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.19 : 583.47 = 350.74 : x
  2. Step 2: Convert to fraction form
    387.19/583.47 = 350.74/x
  3. Step 3: Cross multiply
    387.19x = 583.47 × 350.74
  4. Step 4: Simplify right side
    387.19x = 204,646.27
  5. Step 5: Solve for x
    x = 204,646.27/387.19
  6. Step 6: Final answer
    x = 528.54

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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.