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Finding the Fourth Proportional to 387.06, 583.20 and 320.08

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Solution

The fourth proportional to 387.06, 583.20 and 320.08 is: 482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.06 : 583.20 = 320.08 : x
  2. Step 2: Convert to fraction form
    387.06/583.20 = 320.08/x
  3. Step 3: Cross multiply
    387.06x = 583.20 × 320.08
  4. Step 4: Simplify right side
    387.06x = 186,670.66
  5. Step 5: Solve for x
    x = 186,670.66/387.06
  6. Step 6: Final answer
    x = 482.28

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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.