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Finding the Fourth Proportional to 387.75, 579.03 and 319.08

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Solution

The fourth proportional to 387.75, 579.03 and 319.08 is: 476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.75 : 579.03 = 319.08 : x
  2. Step 2: Convert to fraction form
    387.75/579.03 = 319.08/x
  3. Step 3: Cross multiply
    387.75x = 579.03 × 319.08
  4. Step 4: Simplify right side
    387.75x = 184,756.89
  5. Step 5: Solve for x
    x = 184,756.89/387.75
  6. Step 6: Final answer
    x = 476.48

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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.