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Finding the Fourth Proportional to 390.48, 588.66 and 364.05

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Solution

The fourth proportional to 390.48, 588.66 and 364.05 is: 548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 588.66 = 364.05 : x
  2. Step 2: Convert to fraction form
    390.48/588.66 = 364.05/x
  3. Step 3: Cross multiply
    390.48x = 588.66 × 364.05
  4. Step 4: Simplify right side
    390.48x = 214,301.67
  5. Step 5: Solve for x
    x = 214,301.67/390.48
  6. Step 6: Final answer
    x = 548.82

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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.