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Finding the Fourth Proportional to 426.61, 588.03 and 352.81

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Solution

The fourth proportional to 426.61, 588.03 and 352.81 is: 486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.61 : 588.03 = 352.81 : x
  2. Step 2: Convert to fraction form
    426.61/588.03 = 352.81/x
  3. Step 3: Cross multiply
    426.61x = 588.03 × 352.81
  4. Step 4: Simplify right side
    426.61x = 207,462.86
  5. Step 5: Solve for x
    x = 207,462.86/426.61
  6. Step 6: Final answer
    x = 486.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.