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Finding the Fourth Proportional to 346.33, 478.49 and 325.77

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Solution

The fourth proportional to 346.33, 478.49 and 325.77 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.33 : 478.49 = 325.77 : x
  2. Step 2: Convert to fraction form
    346.33/478.49 = 325.77/x
  3. Step 3: Cross multiply
    346.33x = 478.49 × 325.77
  4. Step 4: Simplify right side
    346.33x = 155,877.69
  5. Step 5: Solve for x
    x = 155,877.69/346.33
  6. Step 6: Final answer
    x = 450.08

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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.