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Finding the Fourth Proportional to 338.71, 505.47 and 302.26

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Solution

The fourth proportional to 338.71, 505.47 and 302.26 is: 451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.71 : 505.47 = 302.26 : x
  2. Step 2: Convert to fraction form
    338.71/505.47 = 302.26/x
  3. Step 3: Cross multiply
    338.71x = 505.47 × 302.26
  4. Step 4: Simplify right side
    338.71x = 152,783.36
  5. Step 5: Solve for x
    x = 152,783.36/338.71
  6. Step 6: Final answer
    x = 451.07

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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.