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Finding the Fourth Proportional to 346.29, 478.34 and 321.69

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Solution

The fourth proportional to 346.29, 478.34 and 321.69 is: 444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.29 : 478.34 = 321.69 : x
  2. Step 2: Convert to fraction form
    346.29/478.34 = 321.69/x
  3. Step 3: Cross multiply
    346.29x = 478.34 × 321.69
  4. Step 4: Simplify right side
    346.29x = 153,875.61
  5. Step 5: Solve for x
    x = 153,875.61/346.29
  6. Step 6: Final answer
    x = 444.36

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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.