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Finding the Fourth Proportional to 383.66, 528.90 and 346.94

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Solution

The fourth proportional to 383.66, 528.90 and 346.94 is: 478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.66 : 528.90 = 346.94 : x
  2. Step 2: Convert to fraction form
    383.66/528.90 = 346.94/x
  3. Step 3: Cross multiply
    383.66x = 528.90 × 346.94
  4. Step 4: Simplify right side
    383.66x = 183,496.57
  5. Step 5: Solve for x
    x = 183,496.57/383.66
  6. Step 6: Final answer
    x = 478.28

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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.