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Finding the Fourth Proportional to 387.09, 583.30 and 320.12

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Solution

The fourth proportional to 387.09, 583.30 and 320.12 is: 482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.09 : 583.30 = 320.12 : x
  2. Step 2: Convert to fraction form
    387.09/583.30 = 320.12/x
  3. Step 3: Cross multiply
    387.09x = 583.30 × 320.12
  4. Step 4: Simplify right side
    387.09x = 186,724.77
  5. Step 5: Solve for x
    x = 186,724.77/387.09
  6. Step 6: Final answer
    x = 482.38

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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.