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Finding the Fourth Proportional to 333.36, 460.49 and 302.31

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Solution

The fourth proportional to 333.36, 460.49 and 302.31 is: 417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.36 : 460.49 = 302.31 : x
  2. Step 2: Convert to fraction form
    333.36/460.49 = 302.31/x
  3. Step 3: Cross multiply
    333.36x = 460.49 × 302.31
  4. Step 4: Simplify right side
    333.36x = 139,209.22
  5. Step 5: Solve for x
    x = 139,209.22/333.36
  6. Step 6: Final answer
    x = 417.59

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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.