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Finding the Fourth Proportional to 389.86, 587.46 and 322.88

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Solution

The fourth proportional to 389.86, 587.46 and 322.88 is: 486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.86 : 587.46 = 322.88 : x
  2. Step 2: Convert to fraction form
    389.86/587.46 = 322.88/x
  3. Step 3: Cross multiply
    389.86x = 587.46 × 322.88
  4. Step 4: Simplify right side
    389.86x = 189,677.47
  5. Step 5: Solve for x
    x = 189,677.47/389.86
  6. Step 6: Final answer
    x = 486.53

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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.