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Finding the Fourth Proportional to 338.80, 506.07 and 302.35

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Solution

The fourth proportional to 338.80, 506.07 and 302.35 is: 451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.80 : 506.07 = 302.35 : x
  2. Step 2: Convert to fraction form
    338.80/506.07 = 302.35/x
  3. Step 3: Cross multiply
    338.80x = 506.07 × 302.35
  4. Step 4: Simplify right side
    338.80x = 153,009.51
  5. Step 5: Solve for x
    x = 153,009.51/338.80
  6. Step 6: Final answer
    x = 451.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.